SSC Board Practice

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SSC Grade X - Applications of Trigonometry

Question 1

1.	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 60° and the angle of elevation of the top of the building is 30°. If the height of the flag staff is 18 m, find the height of the building .
	8.00 m 9.00 m 10.00 m 11.00 m 7.00 m

Question 2

2.	The shadow of a vertical tower BA on a level ground is increased by 15 m, when the altitude of the sun changes from 60° to 30°. Find the height of the tower .
	12.99 m 9.99 m 17.99 m 15.99 m 7.99 m

Question 3

3.	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 45° . If the distance between the point and the top of the chimney is 150 m , find the height of the chimney .
	75 m 150 √ 3 m 75 √ 2 m 150 m 75 2 √ 12 m

Question 4

4.	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 60° and the angle of elevation of the top of the building is 45°. If the height of the building is 5 m, find the height of the flag staff .
	1.66 m 4.66 m 2.66 m 5.66 m 3.66 m

Question 5

5.	A flagstaff stands on the top of a building at a distance of 10 m away from the foot of building . The angle of elevation of the top of the flagstaff is 45° and the angle of elevation of the top of the building is 30°. Find the height of the flagstaff .
	200 3 m ( 10 √ 6 − 10 3 √ 18 ) m ( 5 √ 6 − 5 √ 2 ) m ( 2 − √ 3 ) m ( 10 − 10 3 √ 3 ) m

Question 6

6.	Two vertical poles are on either side of a road. A 32 m long ladder is placed between the two poles. When the ladder rests against one pole, it makes an angle of 30° with the pole and when it is turned to rest against another pole, it makes an angle of 45° with the road. Find the width of the road.
	53.34 m 45.34 m 50.34 m 47.34 m 55.34 m

Question 7

7.	A person, walking 25 m from a point toward a flagpost , observes that its angle of elevation changes from 30° to 45°. Find the height of the flagpost .
	625 2 m ( 25 2 √ 18 + 25 2 √ 6 ) m ( 25 2 √ 3 + 25 2 ) m ( 2 + √ 3 ) m ( 75 4 √ 2 + 25 4 √ 6 ) m

Question 8

8.	From the top of a light house which is 100 m high from the sea level, the angles of depression of two ships are 60° and 45°. If one ship is exactly behind the other on the same side of the light house , find the distance between the two ships.
	42.27 m 45.27 m 39.27 m 37.27 m 47.27 m

Question 9

9.	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 ∠d ∠c ∠b

Question 10

10.	Two boys are on opposite sides of a tower of 190 m height. They measure the angle of elevation of the top of the tower as 45° and 60° respectively. Find the distance between the two boys.
	( 190 √ 6 + 190 3 √ 18 ) m 72200 3 m ( 190 + 190 3 √ 3 ) m ( 95 √ 6 + 95 √ 2 ) m ( 2 + √ 3 ) m

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