Question

If the length of the shadow of a tower is `sqrt(3)` times that of its height, then altitude of the sun is ______.

Options

• 45°

• 30°

• 60°

• 15°

Answer 1

If the length of the shadow of a tower is `sqrt(3)` times that of its height, then altitude of the sun is 30°.

Explanation:

In ΔABC,

tan θ = `(AB)/(BC)`

= `h/(hsqrt(3))`

= `1/sqrt(3)`

= tan 30°

∴ θ = 30°