The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:

Question: The angle of elevation of the sun, when the length of the shadow of a tree √3 times the height of the tree, is:

Solution:
Let AB be the tree and AC be its shadow.

Let ∠ACB = θ
Then, AC/AB = √3
⇒ cotθ = √3
⇒ cotθ = cot30°
∴ θ = 30°