{"id":110226,"date":"2022-02-13T16:04:08","date_gmt":"2022-02-13T10:34:08","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=110226"},"modified":"2022-05-24T12:24:14","modified_gmt":"2022-05-24T06:54:14","slug":"ncert-solutions-for-class-10-maths-chapter-9-some-applications-of-trigonometry-ex-9-1","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/","title":{"rendered":"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 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\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/#Class_10_Maths_Some_Application_Of_Trigonometry_Mind_Maps\" title=\"Class 10 Maths Some Application Of Trigonometry Mind Maps\">Class 10 Maths Some Application Of Trigonometry Mind Maps<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/#SOME_APPLICATIONS_OF_TRIGONOMETRY\" title=\"SOME APPLICATIONS OF TRIGONOMETRY\">SOME APPLICATIONS OF TRIGONOMETRY<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/#Introduction\" title=\"Introduction\">Introduction<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/#Line_of_Sight_and_Angle_of_Elevation\" title=\"Line of Sight and Angle of Elevation\">Line of Sight and Angle of Elevation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/#Angle_of_Depression\" title=\"Angle of Depression\">Angle of Depression<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>Hi all, We have also solved 68 questions of Chapter 12 \u2013 Some Applications of Trigonometry from RD Sharma Class 10 Maths textbook. You can download these solutions in PDF from the above link.<\/p>\n<p><span style=\"color: #0000ff;\"><strong>Ex 9.1 Class 10 Maths Question:<\/strong><\/span><\/p>\n<p>A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole if the Angle made by the rope with the ground level is 30\u00b0.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55582 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ex-9.1-Class-10-Maths-NCERT-Solutions-PDF-Q1.png\" alt=\"Ex 9.1 Class 10 Maths NCERT Solutions PDF Q1\" width=\"429\" height=\"409\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question: <\/strong><\/span>A tree breaks due to a storm, and the broken part bends so that the top of the tree touches the ground making an angle of 30\u00b0 with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the tree&#8217;s height.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55583 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ex-9.1-Class-10-Maths-NCERT-Solutions-PDF-Q2.png\" alt=\"Ex 9.1 Class 10 Maths NCERT Solutions PDF Q2\" width=\"670\" height=\"325\" \/><\/p>\n<p>You can also download the free <strong>PDF of  Ex 9.1 Class 10 Some Applications of Trigonometry NCERT Solutions<\/strong> or save the solution images and take the printout to keep it handy for your exam preparation.<\/p>\n<p><strong><span style=\"color: #0000ff;\">Question: <\/span><\/strong>A contractor plans to install two slides for the children to play in a park. For the children below the age of 5 years, she prefers to have a slide whose top is at the height of 1.5 m and is inclined at an angle of 30\u00b0 to the ground, whereas for elder children, she wants to have a steep slide at the height of 3 m, and inclined at an angle of 60\u00b0 to the ground. What should be the length of the slide in each case?<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55584 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ex-9.1-Class-10-Maths-NCERT-Solutions-PDF-Q3.png\" alt=\"Ex 9.1 Class 10 Maths NCERT Solutions PDF Q3\" width=\"703\" height=\"644\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> The Angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30\u00b0. Find the height of the tower.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55585 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ex-9.1-Class-10-Maths-NCERT-Solutions-PDF-Q4.png\" alt=\"Ex 9.1 Class 10 Maths NCERT Solutions PDF Q4\" width=\"679\" height=\"184\" \/><\/p>\n<p><strong><span style=\"color: #0000ff;\">Question:<\/span> <\/strong>A kite is flying 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60\u00b0. Find the length of the string, assuming that there is no slack in the string.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55586 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Exercise-9.1-Class-10-Maths-NCERT-Solutions-pdf-Q5.png\" alt=\"Exercise 9.1 Class 10 Maths NCERT Solutions pdf Q5\" width=\"408\" height=\"298\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> A 1.5 m tall boy is standing at some distance from a 30 m tall building. The Angle of elevation from his eyes to the top of the building increases from 30\u00b0 to 60\u00b0 as he walks toward the building. Find the distance he walked towards the building.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55587 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Exercise-9.1-Class-10-Maths-NCERT-Solutions-pdf-Q6.png\" alt=\"Exercise 9.1 Class 10 Maths NCERT Solutions pdf Q6\" width=\"665\" height=\"542\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> From a point on the ground, the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20 m high building are 45\u00b0 and 60\u00b0, respectively. Find the height of the tower.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55588 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Exercise-9.1-Class-10-Maths-NCERT-Solutions-pdf-Q7.png\" alt=\"Exercise 9.1 Class 10 Maths NCERT Solutions pdf Q7\" width=\"425\" height=\"582\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the Angle of elevation of the top of the statue is 60\u00b0, and from the same point, the Angle of elevation of the top of the pedestal is 45\u00b0. Find the height of the pedestal.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55589 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Exercise-9.1-Class-10-Maths-NCERT-Solutions-pdf-Q8.png\" alt=\"Exercise 9.1 Class 10 Maths NCERT Solutions pdf Q8\" width=\"672\" height=\"378\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> The Angle of elevation of the top of a building from the foot of a tower is 30\u00b0, and the Angle of elevation of the top of the tower from the foot of the building is 60\u00b0. If the tower is 50 m high, find the height of the building.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55590 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Class-10-Maths-Chapter-9-NCERT-Solutions-Ex-9.1-pdf-Q9.png\" alt=\"Class 10 Maths Chapter 9 NCERT Solutions Ex 9.1 pdf Q9\" width=\"429\" height=\"480\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the elevation angles of the top of the poles are 60\u00b0 and 30\u00b0, respectively. Find the height of the poles and the distance of the point from the poles.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55591 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Class-10-Maths-Chapter-9-NCERT-Solutions-Ex-9.1-pdf-Q10.png\" alt=\"Class 10 Maths Chapter 9 NCERT Solutions Ex 9.1 pdf Q10\" width=\"659\" height=\"477\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the Angle of elevation of the top of the tower is 60\u00b0. From another point 20 m away from this point on the line joining this point to the foot of the tower, the Angle of elevation of the top of the tower is 30\u00b0 (see the given figure). Find the height of the tower and the width of the CD and 20 m from pole AB.<br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-100493 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-9-Some-Applications-of-Trigonometry-Ex-9.1-Q11.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Q11\" width=\"316\" height=\"180\" \/><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55593 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Chapter-9-Maths-Class-10-NCERT-Solutions-Ex-9.1-pdf-Q11.png\" alt=\"Chapter 9 Maths Class 10 NCERT Solutions Ex 9.1 pdf Q11\" width=\"487\" height=\"612\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> From the top of a 7 m high building, the Angle of elevation of the top of a cable tower is 60\u00b0, and the Angle of depression of its foot is 45\u00b0. Determine the height of the tower.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55595 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Chapter-9-Maths-Class-10-NCERT-Solutions-Ex-9.1-pdf-Q12.png\" alt=\"Chapter 9 Maths Class 10 NCERT Solutions Ex 9.1 pdf Q12\" width=\"468\" height=\"593\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> As observed from the top of a 75 m high lighthouse from the sea level, the angles of depression of two ships are 30\u00b0 and 45\u00b0. If one ship is behind the other on the same side of the lighthouse, find the distance between the two ships.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55596 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ch-9-Maths-Class-10-NCERT-Solutions-Ex-9.1-pdf-Q13.png\" alt=\"Ch 9 Maths Class 10 NCERT Solutions Ex 9.1 pdf Q13\" width=\"415\" height=\"571\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at 88.2 m from the ground. The Angle of elevation of the balloon from the eyes of the girl at any instant is 60\u00b0. After some time, the Angle of elevation reduces to 30\u00b0 (see figure). Find the distance traveled by the balloon during the interval.<br \/>\n<img loading=\"lazy\" class=\"size-full wp-image-100494 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-9-Some-Applications-of-Trigonometry-Ex-9.1-Q14.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Q14\" width=\"253\" height=\"164\" \/><\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55597 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Ch-9-Maths-Class-10-NCERT-Solutions-Ex-9.1-pdf-Q14.png\" alt=\"Ch 9 Maths Class 10 NCERT Solutions Ex 9.1 pdf Q14\" width=\"691\" height=\"332\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30\u00b0, approaching the foot of the tower at a uniform speed. Six seconds later, the Angle of depression of the car is found to be 60\u00b0. Find the time taken by the car to reach the foot of the tower from this point.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55598 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Some-Applications-Of-Trigonometry-Class-10-NCERT-Solutions-Pdf-Ex-9.1-Q15.png\" alt=\"Some Applications Of Trigonometry Class 10 NCERT Solutions Pdf Ex 9.1 Q15\" width=\"522\" height=\"577\" \/><\/p>\n<p><span style=\"color: #0000ff;\"><strong>Question:<\/strong><\/span> The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary. Prove that the height of the building is 6 m.<\/p>\n<p><span style=\"color: #ff0000;\"><strong>Solution:<\/strong><\/span><\/p>\n<p><img loading=\"lazy\" class=\"size-full wp-image-55599 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/Some-Applications-Of-Trigonometry-Class-10-NCERT-Solutions-Pdf-Ex-9.1-Q16.png\" alt=\"Some Applications Of Trigonometry Class 10 NCERT Solutions Pdf Ex 9.1 Q16\" width=\"667\" height=\"489\" \/><\/p>\n<h3><span class=\"ez-toc-section\" id=\"Class_10_Maths_Some_Application_Of_Trigonometry_Mind_Maps\"><\/span>Class 10 Maths Some Application Of Trigonometry Mind Maps<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<h4><span class=\"ez-toc-section\" id=\"SOME_APPLICATIONS_OF_TRIGONOMETRY\"><\/span><a href=\"https:\/\/infinitylearn.com\/surge\/maths\/some-application-of-trigonometry-for-class-10\/\" target=\"_blank\" rel=\"noopener\">SOME APPLICATIONS OF TRIGONOMETRY<\/a><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h4><span class=\"ez-toc-section\" id=\"Introduction\"><\/span>Introduction<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p>The height or length of an object or the distance between two distinct objects can be determined with the help of trigonometric ratios.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Line_of_Sight_and_Angle_of_Elevation\"><\/span>Line of Sight and Angle of Elevation<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><img loading=\"lazy\" class=\"size-full wp-image-100495 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-9-Some-Applications-of-Trigonometry-Ex-9.1-Mind-Map-1.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Mind Map 1\" width=\"244\" height=\"173\" \/><br \/>\nIn the above figure, the line AC drawn from the eye of an observer at A to the top of the pole &#8216;C&#8217; is called the line of sight. The observer is looking at the top of the pole. The Angle BAC, so formed by the line of sight with the horizontal, is called the Angle of elevation of the top of the pole from the eye of an observer.<\/p>\n<h4><span class=\"ez-toc-section\" id=\"Angle_of_Depression\"><\/span>Angle of Depression<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><img loading=\"lazy\" class=\"size-full wp-image-100496 aligncenter\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Solutions-For-Class-10-Maths-Chapter-9-Some-Applications-of-Trigonometry-Ex-9.1-Mind-Map-2.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Mind Map 2\" width=\"173\" height=\"205\" \/><br \/>\nIn the above figure, the line AC is the line of sight as the observer looks downwards from the top of the building at A towards the object at C. Here, angle DAC is formed by the line of sight with the horizontal when the observer lowers their head, is called the Angle of depression.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-100497 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Exemplar-Class-6-Science-Chapter-13-Fun-with-Magnets-q19.png\" alt=\"NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 Mind Map 3\" width=\"319\" height=\"73\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Exemplar-Class-6-Science-Chapter-13-Fun-with-Magnets-q19.png?v=1643723611 319w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/02\/NCERT-Exemplar-Class-6-Science-Chapter-13-Fun-with-Magnets-q19-300x69.png?v=1643723611 300w\" sizes=\"(max-width: 319px) 100vw, 319px\" \/><br \/>\nFrom the above figure, if we want to find the height CD of the pole without actually measuring it, we need the following information:<br \/>\n(i) Distance ED of the observer from the pole.<br \/>\n(ii) the Angle of elevation \u2220BAC of the top of the pole.<br \/>\n(iii) the height AE of the observer if it is considerable.<br \/>\nAssuming that the above three conditions are known, we can determine the height of the pole in the following way.<br \/>\nIn the figure, CD = CB + BD. Here, BD = AE, which is the height of the observer.<\/p>\n<p>To find BC, we will use trigonometric ratios of \u2220BAC or \u2220A.<br \/>\nIn \u2206ABC, the side BC is the opposite side to the known \u2220A. Now we use either tan A or cot A, as these trigonometric ratios involve AB and BC to find BC.<br \/>\nTherefore, tan A = \\(\\frac{B C}{A B}\\) or cot A = \\(\\frac{A B}{B C}\\), which on solving would give us BC. By adding AE to BC, you will get the height of the pole.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hi all, We have also solved 68 questions of Chapter 12 \u2013 Some Applications of Trigonometry from RD Sharma Class [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"9.1 class 10","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Get NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 at infinitylearn.com. 9.1 class 10","custom_permalink":"study-material\/ncert-solutions\/class-10\/maths\/chapter-9\/some-applications-of-trigonometry\/ex-9-1\/"},"categories":[19,21],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions For Class 10 Maths Chapter 9 Some Applications of Trigonometry Ex 9.1 - 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