The cliff of a mountain is 180 m high, and the angles of depression of two ships on the same side of cliff are 30° and 60°. Find the distance between the two ships in meter.

The angle of elevation of the sun, when the length of the shadow of a tower is 1/√3 times the height of the tower, is

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 9 m from the surface of the river, then find the width of the river.

From a point exactly midway between the foot of two towers P and Q, the angle of elevation of their tops are 30° and 60°, respectively. The ratio of the heights of tower P to that of Q is:

From the top of a tower, the angles of depression of two objects A and B (situated on the ground on the same side of the tower) are observed to be 30° and 60°, respectively. If the distance between the objects is 200√3 m, then the height of the tower is?

From the top of a building 78 m high, the angles of depression of the bottom and the top of a tower are observed to be 45° and 30° respectively. Determine the approximate height of the tower so observed?

The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the height of the tree, is: