{"id":128025,"date":"2023-08-15T04:34:00","date_gmt":"2023-08-14T23:04:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=128025"},"modified":"2023-11-17T12:16:35","modified_gmt":"2023-11-17T06:46:35","slug":"rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry\/","title":{"rendered":"RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry (Updated for 2024)"},"content":{"rendered":"\n<p><img class=\"alignnone size-full wp-image-128035\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-12-Some-Applications-of-Trigonometry.jpg\" alt=\"RD Sharma Class 10 Solutions Chapter 12\" width=\"1200\" height=\"675\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-12-Some-Applications-of-Trigonometry.jpg 1200w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Class-10-Solutions-Chapter-12-Some-Applications-of-Trigonometry-768x432.jpg 768w\" sizes=\"(max-width: 1200px) 100vw, 1200px\" \/><\/p>\n<p><strong>RD Sharma Class 10 Solutions Chapter 12 Some Applications of Trigonometry: <\/strong>Students can use RD Sharma Solutions for Class 10 Maths Chapter 12 to study and prepare for their board exams. It just has one set of problems focusing on finding heights and distances using trigonometric results. The <a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-for-maths\/\"><strong>RD Sharma Solutions for Class 10<\/strong><\/a> is the place to go if you want to learn the correct step-by-step technique and approach to these questions.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d124be71381\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" 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href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry\/#download-rd-sharma-class-10-solutions-chapter-12-free-pdf\" title=\"Download RD Sharma Class 10 Solutions Chapter 12 Free PDF\">Download RD Sharma Class 10 Solutions Chapter 12 Free PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry\/#exercise-wise-rd-sharma-class-10-maths-solutions-chapter-12-%e2%80%93-some-applications-of-trigonometry\" title=\"Exercise-Wise RD Sharma Class 10 Maths Solutions Chapter 12 &#8211; Some Applications of Trigonometry\">Exercise-Wise RD Sharma Class 10 Maths Solutions Chapter 12 &#8211; Some Applications of Trigonometry<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" 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cost to download the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry\/#can-i-access-the-rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry-pdf-offline\" title=\"Can I access the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF offline?\">Can I access the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF offline?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-rd-sharma-class-10-solutions-chapter-12-free-pdf\"><\/span>Download RD Sharma Class 10 Solutions Chapter 12 Free PDF<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br \/><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-12-compressed.pdf\", \"#example1\");<\/script><\/p>\n<p style=\"text-align: center;\"><a style=\"display: inline-block; width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; text-decoration: none; color: #fff; background: #ff4500; -webkit-box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25); -moz-box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25); box-shadow: 0px 2px 6px 0px rgba(0, 0, 0, 0.25);\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/09\/RD-Sharma-Solution-Class-10-Chapter-12-compressed.pdf\" target=\"_blank\" rel=\"noopener noreferrer\">RD Sharma Class 10 Solutions Chapter 12 PDF- Direct Link<\/a><\/p>\n<h2><span class=\"ez-toc-section\" id=\"exercise-wise-rd-sharma-class-10-maths-solutions-chapter-12-%e2%80%93-some-applications-of-trigonometry\"><\/span>Exercise-Wise RD Sharma Class 10 Maths Solutions Chapter 12 &#8211; Some Applications of Trigonometry<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 100%; text-align: center;\"><strong>RD Sharma Class 10 Solutions Chapter 12 Exercises<\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"width: 100%;\"><a href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-exercise-12-1\/\">RD Sharma Solutions for Class 10 Chapter 12 Exercise 12.1<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"access-answers-to-maths-rd-sharma-solutions-for-class-10-chapter-12-%e2%80%93-some-applications-of-trigonometry\"><\/span>Access Answers to Maths RD Sharma Solutions for Class 10 Chapter 12 \u2013 Some Applications Of Trigonometry<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u00a01. A tower stands vertically on the ground. From a point on the ground, 20 m away from the foot of the tower, the angle of elevation of the top of the tower is 60\u00b0. What is the height of the tower?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-1.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"444\" height=\"208\" \/><\/strong><\/p>\n<p>Given:<\/p>\n<p>Distance between the foot of the tower and the point of observation = 20 m = BC<\/p>\n<p>The angle of elevation of the top of the tower = 60\u00b0 = \u03b8<\/p>\n<p>And, Height of tower (H) = AB<\/p>\n<p>Now, from fig. ABC<\/p>\n<p>\u0394ABC is a right-angle triangle,<\/p>\n<p>So,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-2.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><strong>2. The angle of elevation of a ladder against a wall is 60\u00b0 and the foot of the ladder is 9.5 m away from the wall. Find the length of the ladder.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-3.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"397\" height=\"186\" \/><\/p>\n<p>Given:<\/p>\n<p>Distance between the wall and foot of the ladder = 9.5 m<\/p>\n<p>The angle of elevation (\u03b8) = 60\u00b0<\/p>\n<p>Length of the ladder = L = AC<\/p>\n<p>Now, from fig. ABC<\/p>\n<p>\u0394ABC is a right-angle triangle,<\/p>\n<p>So,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-4.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><em>Thus, the length of the ladder (L) = 19 m<\/em><\/p>\n<p><strong>3. A ladder is placed along a wall of a house such that its upper end is touching the top of the wall. The foot of the ladder is 2 m away from the wall and the ladder is making an angle of 60\u00b0 with the level of the ground. Determine the height of the wall.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-5.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"464\" height=\"217\" \/><\/p>\n<p>Given,<\/p>\n<p>Distance between the wall and the foot of the ladder = 2m = BC<\/p>\n<p>Angle made by ladder with ground (\u03b8) = 60\u00b0<\/p>\n<p>Height of the wall (H) = AB<\/p>\n<p>Now, the fig. of ABC forms a right-angle triangle.<\/p>\n<p>So,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-6.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><strong>4. An electric pole is 10 m high. A steel wire tied to the top of the pole is affixed at a point on the ground to keep the pole upright. If the wire makes an angle of 45\u00b0 with the horizontal through the foot of the pole, find the length of the wire.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-7.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"464\" height=\"217\" \/><\/p>\n<p>Given,<\/p>\n<p>Height of the electric pole = 10 m = AB<\/p>\n<p>The angle made by steel wire with the ground (horizontal) \u03b8 = 45\u00b0<\/p>\n<p>Let the length of wire = L = AC<\/p>\n<p>So, from the figure formed we have ABC as a right triangle.<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-8.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><strong>5. A kite is flying at a height of 75 meters from the ground level, attached to a string inclined at 60\u00b0 to the horizontal. Find the length of the string to the nearest meter.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-9.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"474\" height=\"222\" \/><\/p>\n<p>Given,<\/p>\n<p>Height of kite flying from the ground level = 75 m = AB<\/p>\n<p>The angle of inclination of the string with the ground (\u03b8) = 60\u00b0<\/p>\n<p>Let the length of the string be L = AC<\/p>\n<p>So, from the figure formed we have ABC as a right triangle.<\/p>\n<p>Hence,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-10.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><strong>6. A ladder 15 meters long reaches the top of a vertical wall. If the ladder makes an angle of 60<sup>o<\/sup>\u00a0with the wall, find the height of the wall.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><strong><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-11.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"457\" height=\"214\" \/><\/strong><\/p>\n<p>Given,<\/p>\n<p>The length of the ladder = 15m = AO<\/p>\n<p>Angle made by the ladder with the wall = 60<sup>o<\/sup><\/p>\n<p>Let the height of the wall be h meters.<\/p>\n<p>And the horizontal ground is taken as OX.<\/p>\n<p>Then from the fig. we have,<\/p>\n<p>In right \u0394ABO, using trigonometric ratios<\/p>\n<p>cos (60<sup>o<\/sup>) = AB\/AO<\/p>\n<p>1\/2 = h\/ 15<\/p>\n<p>h = 15\/2<\/p>\n<p>h = 7.5m<\/p>\n<p><em>Hence, the height of the wall is 7.5m<\/em><\/p>\n<p><strong>7. A vertical tower stands on a horizontal plane and is surmounted by a vertical flagstaff. At a point on the plane 70 meters away from the tower, an observer notices that the angles of elevation of the top and bottom of the flag-staff are respectively 60\u00b0 and 45\u00b0. Find the height of the flagstaff and that of the tower.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-12.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p>Given,<\/p>\n<p>A vertical tower is surmounted by flagstaff.<\/p>\n<p>Distance between observer and the tower = 70 m = DC<\/p>\n<p>The angle of elevation of the bottom of the flagstaff = 45\u00b0<\/p>\n<p>The angle of elevation of the top of the flagstaff = 60\u00b0<\/p>\n<p>Let the height of the flagstaff = h = AD<\/p>\n<p>Height of tower = H = BC<\/p>\n<p>If we represent the above data in the figure then it forms right angle triangles \u0394ACD and \u0394BCD<\/p>\n<p>When \u03b8 is the angle in right angle triangle we know that<\/p>\n<p>tan \u03b8 = opp. Side\/ Adj. side<\/p>\n<p>Now,<\/p>\n<p>tan 45<sup>o<\/sup>\u00a0= BC\/ DC<\/p>\n<p>1 = H\/ 70<\/p>\n<p>\u2234 H =70 m<\/p>\n<p>Again,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-13.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p>x = 70 (1.732-1)<\/p>\n<p><em>\u2234 x = 51.24 m<\/em><\/p>\n<p><em>Therefore, the height of the tower = 70 m and the height of flagstaff = 51.24 m<\/em><\/p>\n<p><strong>8. A vertically straight tree, 15 m high, is broken by the wind in such a way that its top just touches the ground and makes an angle of 60\u00b0 with the ground. At what height from the ground did the tree break?<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-14.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"434\" height=\"203\" \/><\/p>\n<p>Given,<\/p>\n<p>The initial height of tree H = 15 m = AB + AC<\/p>\n<p>Let us assume that it is broken at point A.<\/p>\n<p>And, the angle made by broken part with the ground (\u03b8) = 60\u00b0<\/p>\n<p>Height from ground to broken points = h = AB<\/p>\n<p>So, we have<\/p>\n<p>H = AC + h<\/p>\n<p>\u27f9 AC = (H \u2013 h) m<\/p>\n<p>We get a right triangle formed by the above-given data,<\/p>\n<p>So,<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-15.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p>Rationalizing denominator, we have<\/p>\n<p><img src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-16.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" \/><\/p>\n<p><em>Therefore, the height of broken point from the ground is 15(2\u221a3 \u2013 3)m<\/em><\/p>\n<p><strong>9. A vertical tower stands on a horizontal plane and is surmounted by a vertical flag staff of height 5 meters. At a point on the plane, the angles of elevation of the bottom and the top of the flag staff are respectively 30\u00b0 and 60\u00b0. Find the height of the tower.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-17.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"483\" height=\"226\" \/><\/p>\n<p>Given,<\/p>\n<p>Height of the flagstaff = 5 m =AB<\/p>\n<p>The angle of elevation of the top of flagstaff = 60\u00b0<\/p>\n<p>The angle of elevation of the bottom of the flagstaff = 30\u00b0<\/p>\n<p>Let the height of the tower be \u2018h\u2019 m = BC<\/p>\n<p>And, let the distance of the point from the base of the tower = x m<\/p>\n<p>In right angle triangle BCD, we have<\/p>\n<p>tan 30<sup>o<\/sup>\u00a0= BC\/DC<\/p>\n<p>1\/\u221a3 = h\/x<\/p>\n<p>x = h\u221a3 \u2026.. (i)<\/p>\n<p>Now, in \u0394ACD,<\/p>\n<p>tan 60<sup>o<\/sup>\u00a0= AC\/DC<\/p>\n<p>\u221a3 = (5 + h)\/ x<\/p>\n<p>\u221a3x = 5 + h<\/p>\n<p>\u221a3(h\u221a3) = 5 + h [using (i)]<\/p>\n<p>3h = 5 + h<\/p>\n<p>2h = 5<\/p>\n<p>h = 5\/2 = 2.5m<\/p>\n<p><em>Therefore, the height of the tower = 2.5 m<\/em><\/p>\n<p><strong>10<\/strong>.\u00a0<strong>A person observed the angle of elevation of a tower as 30\u00b0. He walked 50 m towards the foot of the tower along level ground and found the angle of elevation of the top of the tower as 60\u00b0. Find the height of the tower.<\/strong><\/p>\n<p><strong>Solution:<\/strong><\/p>\n<p><img class=\"\" src=\"https:\/\/cdn1.byjus.com\/wp-content\/uploads\/2020\/10\/r-d-sharma-solutions-for-class-10-maths-chapter-12-some-applications-of-trigonometry-ex-12-1-18.png\" alt=\"RD Sharma Solutions For Class 10 Maths Chapter 12 Solutions\" width=\"429\" height=\"201\" \/><\/p>\n<p>Given,<\/p>\n<p>The angle of elevation of the tower before he started walking = 30<sup>o<\/sup><\/p>\n<p>Distance walked by the person towards the tower = 50m<\/p>\n<p>The angle of elevation of the tower after he walked = 60<sup>o<\/sup><\/p>\n<p>Let the height of the tower (AB) = h m<\/p>\n<p>Let the distance BC = x m<\/p>\n<p>From the fig. in \u0394ABC,<\/p>\n<p>tan 60<sup>o<\/sup>\u00a0= AB\/ BC<\/p>\n<p>\u221a3 = h\/x<\/p>\n<p>x = h\/\u221a3 \u2026.(i)<\/p>\n<p>Now, in \u0394ABD<\/p>\n<p>tan 30<sup>o<\/sup>\u00a0= AB\/ BD<\/p>\n<p>1\/\u221a3 = h\/ (50 + x)<\/p>\n<p>\u221a3h = 50 + x<\/p>\n<p>\u221a3h = 50 + (h\/\u221a3) [using (i)]<\/p>\n<p>3h = 50\u221a3 + h<\/p>\n<p>2h = 50\u221a3<\/p>\n<p>h = 25\u221a3 = 25(1.73) =\u00a0<em>43.25m<\/em><\/p>\n<p><em>Therefore, the height of the tower = 43.25m<\/em><\/p>\n<h2><span class=\"ez-toc-section\" id=\"detailed-exercise-explanation-for-rd-sharma-class-10-maths-solutions-chapter-12\"><\/span>Detailed Exercise Explanation for RD Sharma Class 10 Maths Solutions Chapter 12<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We jotted all the exercise-wise solutions down below, for you to have a quick idea of the notions that you will study in detail in each exercise. Let\u2019s get to it-<\/p>\n<h3><span class=\"ez-toc-section\" id=\"rd-sharma-class-10-solutions-chapter-12-exercise-121\"><\/span>RD Sharma Class 10 Solutions Chapter 12 Exercise 12.1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This introductory section begins with the basics that students learned in the previous chapter as well. Take for instance the last chapter covered trigonometric ratios. This chapter will brief you on various simple applications of Trigonometry in everyday life. Being one of the ancient mathematical subjects the topics are studied all around the globe.<\/p>\n<p>Moreover, trigonometry finds its application in various disciplines too other than maths. Hence students must consider taking a guidebook such as RD Sharma Class 10 Maths Solutions Chapter 12 PDF for securing a robust knowledge on the subject, which will help them grow for future higher studies too.<\/p>\n<p>Download RD Sharma\u00a0<a href=\"http:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener\">CBSE<\/a> Class 10 Maths Chapter 12 Solutions to boost your preparations for the exam. If you have any queries, feel free to ask us in the comment section.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"frequently-asked-questions-on-rd-sharma-class-10-solutions-chapter-12\"><\/span>Frequently Asked Questions on RD Sharma Class 10 Solutions Chapter 12<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1631703208542\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-get-rd-sharma-solutions-class-10-maths-chapter-12-free-pdf\"><\/span>Where can I get RD Sharma Solutions Class 10 Maths Chapter 12 Free PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can get RD Sharma Solutions Class 10 Maths Chapter 12 Free PDF from the above article.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631703312738\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"mention-concepts-that-are-important-from-an-exam-perspective-in-rd-sharma-solutions-for-class-10-maths-chapter-12\"><\/span>Mention concepts that are important from an exam perspective in RD Sharma Solutions for Class 10 Maths Chapter 12.<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The 12th Chapter of the RD Sharma Class 10 textbook is Some Applications of Trigonometry. It just has one set of problems focusing on finding heights and distances using trigonometric results. These materials are available for free on the website for students who desire to excel in math. RD Sharma Solutions for Class 10 was created by our experienced team to assist and fulfill the dreams of students.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1631703658978\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-are-the-real-life-applications-of-trigonometry-according-to-rd-sharma-solutions-for-class-10-maths-chapter-12\"><\/span>What are the real-life applications of trigonometry according to RD Sharma Solutions for Class 10 Maths Chapter 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Although trigonometry does not directly solve practical problems, it is applied in a variety of applications. For example, trigonometry is utilized in the creation of computer music: as you may know, sound travels in the shape of waves, and this wave pattern is created using a sine or cosine function. Here are a few examples of how trigonometry and its functions can be used.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1681975275686\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-much-does-it-cost-to-download-the-rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry-pdf\"><\/span>How much does it cost to download the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF for free.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1681975291451\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-access-the-rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry-pdf-offline\"><\/span>Can I access the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF offline?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Once you have downloaded the RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry PDF online, you can access it offline whenever you want.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>RD Sharma Class 10 Solutions Chapter 12 Some Applications of Trigonometry: Students can use RD Sharma Solutions for Class 10 Maths Chapter 12 to study and prepare for their board exams. It just has one set of problems focusing on finding heights and distances using trigonometric results. The RD Sharma Solutions for Class 10 is &#8230; <a title=\"RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry (Updated for 2024)\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/rd-sharma-class-10-solutions-chapter-12-some-applications-of-trigonometry\/\" aria-label=\"More on RD Sharma Class 10 Solutions Chapter 12- Some Applications of Trigonometry (Updated for 2024)\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":128035,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73411,2985,73410],"tags":[3243,9206,73520,4388],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/128025"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=128025"}],"version-history":[{"count":5,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/128025\/revisions"}],"predecessor-version":[{"id":508662,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/128025\/revisions\/508662"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/128035"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=128025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=128025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=128025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}