Question

The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is ______.

Options

• 30°

• 45°

• 60°

• 90°

Answer 1

The angle of elevation of the top of a 30 m high tower at a point 30 m away from the base of the tower is 45°.

Explanation:

Let the angle be x

`\implies` tan x = `"Height of tower"/"Distance"`

`\implies` tan x = `30/30` = 1

`\implies` tan x = tan 45°

`\implies` x = 45°