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CBSE 10th Board Class 10 2020 : Mathematics

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Chap 9 : Some Applications of Trigonometry www.cbse.online CHAPTER 9 Some Applications of Trigonometry twice the distance between the foot of the ladder and the wall. Find the angle made by the ladder with the horizontal. Ans : [CBSE 2015, Set-HODM40L] VERY SHORT ANSWER TYPE QUESTIONS 1. A ladder 15 m long leans against a wall making an angle of 60 with the wall. Find the height of the point where the ladder touches the wall. Ans : [KVS 2014] Let the distance between the foot of the ladder and the wall is x , then length of the ladder will be 2x . As per given in question we have drawn figure below. Let the height of wall be h . As per given in question we have drawn figure below. h = cos 60 15 In TABC, h = 15 # cos 60 = 15 # 1 = 7.5 m 2 2. A pole casts a shadow of length 2 3 m on the ground, when the Sun s elevation is 60 . Find the height of the pole. Ans : [CBSE Foreign 2015] Let the height of pole be h. As per given in question we have drawn figure below. h = tan 60 2 3 h = 2 3 tan 60 =2 3# 3. 3 =6 m If the length of the ladder placed against a wall is +B = 90 cos A = x = 1 = cos 60 2x 2 A = 60 Add 8905629969 in Your Class Whatsapp Group to Get All PDFs 4. An observer, 1.7 m tall, is 20 3 m away from a tower. The angle of elevation from the eye of observer to the top of tower is 30 . Find the height of tower. Ans : [CBSE Foreign 2016] Let height of the tower AB be h . As per given in question we have drawn figure below. Here AE = h - 1.7 and BC = DE = 20 3 In TADE, +E = 90 tan 30 = h - 1.7 20 3 Download all GUIDE and Sample Paper pdfs from www.cbse.online or www.rava.org.in Page 172

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