In the given figure, AB is a tower and two objects C and D are located on the ground on the same side of AB. When observed from the top B of the tower, their angles of depression are 45° and 60° respectively. Find the distance between the objects, if the height of the tower is 180 m.

In the given figure, AB represents a pole and CD represents a 60 m high tower, both of which are standing on the same horizontal plane. From the top of the tower, the angles of depression of the top and the foot of the pole are 30° and 60° respectively. Calculate:

(i) the horizontal distance between the pole and the tower,

(ii) the height of the pole.

From a boat, 200 m away from a vertical cliff, the angles of elevation of the top and the foot of a vertical pillar at the edge of the cliff are 36° and 34° respectively. Find:

(i) the height of the cliff, and

(ii) the height of the pillar.