CBSE Board Practice

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CBSE Grade X - Some Applications of Trigonometry

Question 1

1.	A tower stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the tower is found to be 60° . If the height of the tower is 90 m , find the distance between the observation point and the foot of the tower .
	45 √ 2 m 30 √ 3 m 90 m 30 m 30 √ 18 m

Question 2

2.	Two vertical poles are on either side of a road. A 27 m long ladder is placed between the two poles. When the ladder rests against one pole, it makes an angle of 45° with the pole and when it is turned to rest against another pole, it makes an angle of 60° with the road. Find the width of the road.
	35.59 m 27.59 m 29.59 m 37.59 m 32.59 m

Question 3

3.	If P is the point of observation and the observed object is at point O, which of the following angles represent the angle of elevation ?
	∠e ∠c ∠b ∠d

Question 4

4.	A boy standing on a vertical cliff in a jungle observes two rest houses in line with him on opposite sides deep in the jungle below. If their angles of depression are 60° and 45° and the distance between them is 105 m , find the height of the cliff.
	63.57 m 66.57 m 61.57 m 69.57 m 71.57 m

Question 5

5.	From a point 180 m away from a vertical cliff, the angles of elevation of the top and the foot of a vertical pillar at the top of the cliff are 60° and 30° respectively. Find the height of the pillar.
	207.85 m 221.85 m 224.85 m 191.85 m 192.85 m

Question 6

6.	A man 1.9 m tall stands at a distance of 8.5 m from a lamp post and casts a shadow of 4.1 m on the ground. Find the height of the lamp post .
	6.84 m 5.84 m 4.84 m 3.84 m 7.84 m

Question 7

7.	From the top of a 9 m high building , the angle of elevation of the top of a cable tower is 45° and the angle of depression of its foot is 30°. Find the height of the cable tower.
	21.59 m 24.59 m 29.59 m 27.59 m 19.59 m

Question 8

8.	A man in a boat rowing away from a lighthouse 55 m high, takes 4.5 min to change the angle of elevation of the top of the lighthouse from 45° to 30°. Find the speed of the boat.
	2.15 m/sec 0.15 m/sec 7.15 m/sec 1.15 m/sec 8.15 m/sec

Question 9

9.	A flag is hoisted at the top of a building . From a point on the ground, the angle of elevation of the top of the flag staff is 45° and the angle of elevation of the top of the building is 30°. If the height of the flag staff is 14 m, find the height of the building .
	14.13 m 24.13 m 19.13 m 22.13 m 16.13 m

Question 10

10.	There are two temples one on each bank of a river, just opposite to each other. One of the temples is 190 m high. As observed from the top of this temple, the angles of depression of the top and foot of the other temple are 30° and 60° respectively. Find the height of the other temple.
	126.66 m 101.66 m 108.66 m 134.66 m 152.66 m

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