Question

the ratio of the height of a tower and the length of its shadow on the ground is root 3:1 what is the angle of elevation of the Sun

Answer 1

Ratio of the height of the tower to the shadow on the ground is √3:1

So let the height of the tower be √3x and length of the shadow 1x

We know that Tan∅ = Perpendicular/ Base
Tan∅= √3x / x
Tan∅ = √3
Tan∅ = Tan 60°   (Tan 60 =√3 )
∅ = 60°

So angle of elevation of the sun = 60°