If the ratio of the height of a tower and the length of its shadow is √3 :1, what is the angle of elevation of the Sun?

An aeroplane is flying at a height of 210 m. Flying at this height at some instant the angles of depression of two points in a line in opposite directions on both the banks of the river are 45° and 60°. Find the width of the river.

The height of a tower is 10 m. What is the length of its shadow when Sun’s altitude is 45°?

What is the angle of elevation of the Sun when the length of the shadow of a vertical pole is equal to its height?

From a point on the ground, 20 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is 60°, what is the height of the tower?