From the top of a cliff, the angle of depression of the top and bottom of a tower are observed to be 45° and 60° respectively. If the height of the tower is 20 m, find:

(i) the height of the cliff,

(ii) the distance between the cliff and the tower.

Two lamp posts AB and CD, each of height 100 m, are on either side of the road. P is a point on the road between the two lamp posts. The angles of elevation of the top of the lamp post from the point P are 60° and 40°. Find the distances PB and PD.

The angle of elevation of the sun when the length of the shadow of a pole is equal to its height, is:

1. 30°

2. 45°

3. 60°

4. 90°

If the length of the string of a kite flying in the sky is twice the height of the kite from the ground, then the angle of elevation of the kite is:

1. 30°

2. 45°

3. 60°

4. none of these