WORKSHEETS #CLASS 10 APPLICATIONS OF TRIGNOMETRY

SOME APPLICATIONS OF TRIGNOMETRTY

1. A ladder 15 m long just reaches the top of a vertical wall. if the ladder makes an angle of 60° with the wall then find the height of the wall.   (Ans ; 15/2√3 m)

2. A pole 10 m high cast a shadow 10 m  long on the ground, then find the sun's elevation. (ans 45°)

3. The ratio of the height of a tower and the length of its shadow on the ground is √3 : 1. what is the angle of the elevation of the sun? (Ans 60°)

4. The tops of two poles of height 20 m and 14 m are connected by a wire. if the wire makes an angle of 30° with the horizontal, then find the length of the wire. (ans 12 m)

5. The angle of elevation of the top of the building from the foot of a tower is 30°. The angle of elevation of the top of the tower from the foot of the building is 60°. if the tower is 60 m  high, find the height of the building.  (ans 20 m)

6. Two poles of equal heights are standing opposite to each other on either side of the road, which is 80 m wide. from a point between them on the road, the angle of elevation of the top of the poles are 60° and 30° respectively. find the height of the poles and the distances of the point from the poles.

7. As observed from the top of a 100 m high light house from the sea level the angles of depression of two ships are 30° 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. (use √3 = 1.732)       (Ans 73.2 m)

8. A vertical tower is surmounted by a flag staff of the height 5 metres. At a point on the ground, the angles of elevation of bottom and top of flag staff are 45° and 60° respectively. find the height of the tower.   (Ans 6.83 m)

9. 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° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal. (Ans 0.8(√3 + 1) m)

10. The angle of depression of the top and bottom of a 50 m high building from the top of a tower are 45° and 60° respectively. find the height of the tower and the horizontal distance between the tower and the building. (use √3 = 1.73) (ans 118.07m & 68.25 m)