1. A lamp post 5√3 m high casts a shadow 5 m long on the ground. The sun’s elevation at this point is:

2. The angle of elevation of the top of a tower from a point P on the ground is α. After walking α distance d towards the foot of the tower, angle of elevation is found to be β. Then

3. If the angles of elevation of the top of a tower from two points at the distance of 3 m and 12 m from the base of tower and in the same straight line with it are complementary, then the height of the tower (in m) is:

4. A ladder makes an angle of 60° with the ground, when placed along a wall. If the foot of ladder is 8 m away from the wall, the length of ladder is:

5. If the height and length of a shadow of a man are the same, then the angle of elevation of sun is:

6. A bridge, in the shape of a straight path across a river, makes an angle of 60° with the width of the river. If the length of the bridge is 100 m, then the width of the river is:

7. The angle of elevation of the top of a tower from a point on the ground 30 m away from the foot is 30°. The height of the tower is:

8. The angle of elevation of the top of a tower at a distance of 500 m from the foot is 30°. The height of the tower is: