Question

The ratio of the height of a tower and the length of its shadow on the ground is `sqrt3 : 1`. What is the angle of elevation of the sun?

Answer 1

Let the height of the tower be h m and the length of the shadow on the ground be l m.
The angle of elevation of the sun from the ground be θ

We have `h:1  = sqrt3:1`

Now In `triangleABC`

=`h/l`

= `sqrt3/1`

= `tan 60^@`

`=> theta = 60^@`

Hence, the angle of elevation of the sun will be 60^∘