Question

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

Options

• 45°

• 30°

• 60°

• 90°

Answer 1

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

Explanation:

Let the tower’s height = h and shadow = `sqrt(3)·h`. 

Then `tan θ = "Height"/"Shadow"`

= `h/(sqrt(3)h)`

= `1/sqrt(3)`

= tan 30°

So θ = 30°.