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

From a point on the roof of a house, 11m high, it is observed that the angle of depression of the top and foot of a lamp post are 30^@ and 60^@ respectively. What is the height of the lamp post?

From the top of a lighhouse, the angles of depression of two ships on the opposite sides of it are observed to be 30^(@) and 60^(@) . If the height of the lighthouse is h meters and thhe line joining the ships passes through the foot of the lighthouse. show that the distance between the ships is (4h)/(sqrt(3)) m.

Two ships are sailing in the sea on either side of the lighthouse. The angles of depression of two ships as observed from the top of the lighthouse are 60^(@)and45^(@) respectively. If the distance between the ships is 200((sqrt(3+1))/(sqrt(3))) metres, find the height of the lighthouse.

The angles of elevation and depression of the top and bottom of a lamp post from the top of a 66m high apartment are 60^(@) and 30^(@) respectively, find The height of the lamp post.