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.

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.

A tower stands vertically on the ground. Front a point on the ground. which is 15 m away from the foot of the tower, the angle of elevation of the top of the tower is found to be 60^@ . Find the height of the tower.

A TV tower stands vertically on a bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60^@ . From a point 20maway from this point on the same bank, the angle of elevation of the top of the tower is 30^@ (see fig.). Find the height of the tower and the width of the canal.

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.

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 point on the ground 40 m away from the foot of a tower, the angle of elevation of the top of the tower is 30^@ . The angle of elevation to the top of a water tank (On the top of the tower) is 45^@ . Find the height of the tower and the depth of the tank.

A tree stands vertically on the bank of a river. From a point on the other bank directly opposite the tree, the angle of elevation of the top of the tree is 60^@ . From a point 20 m behind this point on the same bank, the angle of elevation of the top of the tree is 30^@ . Find the height of the tree and the width of the river.

A pole 5 m high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point 'A' on the ground is 60^@ and the angle of depression of the point ‘A’ from the top of the tower is 45^@ . Find the height of the tower

The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30^@ . Find the height of the tower.

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.