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

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 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.

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 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 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.

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.

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.

An aeroplane, when 3000 m high, passes vertically above another aeroplane at an instant when the angles of elevation of the two aeroplanes from the same point on the ground are 60^@ and 45^@ respectively. Find the vertical distance between the two aeroplanes.

The angle of elevation of the top of a building from the foot of the tower is 30^@ and the angle of elevation of the top of the tower from the foot of the building is 60^@ . If the tower is 50 m high, find the height of the building.