The angles of depression of the top and the bottom of an 8 m tall building from the top of a multi-storeyed building are `30^@` and `45^@`, respectively. Find the height of the multi-storeyed building and the distance between the two buildings.

The angles of elevation and depression of the top and bottom of a light-house from the top of a building 60 m high are 30^@ and 60^@ respectively. Find difference between the light-house and the building.

The angles of elevation and depression of the top and bottom of a light-house from the top of a building 60 m high are 30^@ and 60^@ respectively. Find the difference between the heights of the light-house and the building

From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 20 m high building are 45^@ and 60^@ respectively. Find the height of the tower.

From the top of a hill 200 m high, the angles of depression of the top and the bottom of a pillar are 30^@ and 60^@ respectively. Find the height of the pillar and its distance from the hill.

From the top of a building 15 m high, the angle of elevation of the top of a tower is found to be 30^@ . From the bottom of the same building, the angle of elevation of the top of the tower is found to be 60°. Find the height of the tower and the distance between the tower and the building.

From a building 60 metres high the angle of depression of the top and bottom of lamppost are 30^@ and 60^@ respectively. Find the distance between lamp post and building. Also find the difference of height between building and lamp post.

Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road the angles 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.

From a window (h metres high above the ground) of a house in a street, the angles of elevation and depression of the top and the foot of another house on the opposite side of the street are theta and phi respectively. Show that the height of theopposite house is h (1 + tan theta cot phi) .

From a point P on the ground the angle of elevation of the top of a 10 m tall building is 30^@ .A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^@ . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3 = 1.732)

As observed from the top of a 75 m high lighthouse 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 lighthouse, find the distance between the two ships.