Question

If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is ______.

Options

• 30°

• 45°

• 60°

• 90°

Answer 1

If the height of the tower is equal to the length of its shadow, then the angle of elevation of the sun is 45°.

Explanation:

Given that,

Height of tower = Length of shadow

Let the angle of elevation be x

`\implies` tan x = `"Height of tower"/"Length of shadow"`

`\implies` tan x = 1  ...(tan 45° = 1)

`\implies` x = 45°