1. If a pole 6 m high casts a shadow 2 √3 m long on the ground, then sun's elevation is

2. If a 30 m ladder is placed against a 15 m wall such that it just reaches the top of the wall, then the elevation of the wall is equal to

3. An observer 1.6 m tall is 20√3 m away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The height of the tower is

4. The angle of depression of a car parked on the road from the top of 150 m high tower is 30º. The distance of the car from the tower (in metres) is

5. From the top of a 42 m high light house, the angles of depression of two ships that are in a straight line are 60º and 45º respectively. What is the distance between the two ships? (use √3 = 1.73)

6.  The length of shadow of a pole on the play ground is 1/√3 times the height of the pole, the angle of elevation of the sun is

7. The length of a string between a kite and a point on the ground is 85 m, if the string makes an angle θ with the ground level such that tan θ = 15/8, then at what height is the kite from the ground ?

8. It is found that on walking x metres  towards a tower in a horizontal line through its base, the elevation of its top changes from 30º to 60º. The height of the tower is

9. A ladder 18 m long makes an angle of 60º with a wall. The height of the point where the ladder reaches the wall is

10. A 1.6 m tall girl stands at distance of 3.2 m from a lamp post and casts shadow of 4.8 m on the ground , then the height of the lamp post is

11. The angle of elevation of a ladder leaning against a wall is 60º the foot of the ladder is 12.4 m away from the wall. The length of the ladder is

12. If the altitude of the Sun is at 30º, then the height of the vertical tower that will cast a shadow of length 20 m is

13. If a pole 6 m high casts a shadow 2 √3 long on the ground, then sun's elevation is

14. The length of the shadow of a pole standing on a level ground is found to be 2d metres longer when two sun's elevation is 30º than when it was 45º. The height of the pole is (in metres)

15. The tops of two poles of height 20 m and 15 m are connected by a wire of length x metres. If the wire makes an angle of 30º with the horizontal, then x equal to