Question

The height of a tree is `sqrt(3)` times the length of its shadow. Find the angle of elevation of the sun.

Answer 1

Let the length of the shadow of the tree be x m

∴ Height of the tree = `sqrt(3) xx m` 

If θ is the angle of elevation of the sun, then 

` tan theta = (sqrt(3)x)/x`

= `sqrt(3)`

= tan 60°

∴ θ = 60°