If the height of a vertical pole is 3 times the length of its shadow on the ground, then the angle of elevation of the sun at that time is

Answer: Option B

Let AB be a vertical pole and let its shadow be BC

Let BC = x m, then length of pole = $$\sqrt{3}$$ x,
$$\theta$$ be the angle of elevation
$$\begin{array}{rl}& \therefore \text{tan}\theta =\frac{AB}{BC}=\frac{\sqrt{3}x}{x}=\sqrt{3}\\ & =\tan 60^{\circ }\\ & \therefore \theta =60^{\circ }\end{array}$$