Shadow of a man is 1 3 times the height of the man. What will be the sun’s angle of elevation?

Answer: Option D

Shadow length = $$\frac{1}{\sqrt{3}}$$ Height of man
$$\begin{array}{rl}& \frac{\text{Height}\text{of}\text{man}}{\text{Shadow}\text{length}}=\sqrt{3}\\ & \tan \theta =\frac{\text{Height}\text{of}\text{man}}{\text{Shadow}\text{length}}=\sqrt{3}\\ & \text{But}\tan 60^{\circ }=\sqrt{3}\end{array}$$
∴ $$\theta$$ = 60° = Angle of elevation of sum