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.

As observed from the top of a light house, 100 m high above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30^@ to 45^@ . Determine the distance travelled by the ship during the period of observation.

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 7m high building, the angle of elevation of the top of a cable tower is 60^@ and the angle of depression of its foot is 45^@ . Determine the height of the tower.

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 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.

From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30^@ and 45^@ , respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.

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.