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.

A statue 1.6 m tall stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60^@ and from the same point the angle of elevation of the top of the pedestal is 45^@ . Find the height of the pedestal.

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.

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)

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

On a horizontal plane there is a vertical tower with a flag on the top of the tower. At a point 9 metres away from the foot of the tower the angle of elevation of the top and bottom of the flag pole are 60^@ and 30^@ respectively. Find the height of the tower and flag pole mounted on it.

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.

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.

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.

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.

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.