SSC Board Practice

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SSC Grade X - Applications of Trigonometry

Question 1

1.	A chimney stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the chimney is found to be 30° . If the height of the chimney is 60 m , find the distance between the observation point and the foot of the chimney .
	60 m 60 √ 3 m 60 √ 18 m 180 m 90 √ 2 m

Question 2

2.	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 30° and 60° and the distance between them is 120 m , find the height of the cliff.
	48.97 m 56.97 m 51.97 m 46.97 m 54.97 m

Question 3

3.	A radio tower stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the radio tower is found to be 30° . If the distance between the point and the foot of the radio tower is 140 m , find the distance between the observation point and the top of the radio tower .
	280 3 √ 18 m 140 √ 2 m 280 m 280 3 m 280 3 √ 3 m

Question 4

4.	A chimney stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the chimney is found to be 30° . If the distance between the point and the top of the chimney is 90 m , find the distance between the observation point and the foot of the chimney .
	45 m 45 √ 3 m 45 √ 18 m 135 2 √ 2 m 135 m

Question 5

5.	From the top of a light house which is 80 m high from the sea level, the angles of depression of two ships are 60° and 30°. If one ship is exactly behind the other on the same side of the light house , find the distance between the two ships.
	89.37 m 95.37 m 87.37 m 92.37 m 97.37 m

Question 6

6.	From a point 90 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 45° respectively. Find the height of the cliff.
	85.00 m 93.00 m 87.00 m 95.00 m 90.00 m

Question 7

7.	A tower stands vertically on the ground. The height of the tower is 70 m . The distance between the observation point and its top is 140 m . Find the angle of elevation.
	60° 45° 30° 75° 90°

Question 8

8.	The angles of depression of two boats from the top of a cliff 80 m high are 30° and 60° respectively. Find the distance between the boats, if the boats are on the opposite sides of the cliff .
	208.76 m 167.76 m 200.76 m 162.76 m 184.76 m

Question 9

9.	A building stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the building is found to be 60° . If the distance between the point and the top of the building is 170 m , find the height of the building .
	255 m 85 √ 18 m 85 m 85 √ 3 m 255 2 √ 2 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 80 m high. As observed from the top of this temple, the angles of depression of the top and foot of the other temple are 45° and 60° respectively. Find the height of the other temple.
	33.81 m 36.81 m 30.81 m 28.81 m 38.81 m

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