The length of shadow of a tower on the plane ground is 3 times the height of the tower. The angle of elevation of sun is

Answer: Option B

Let AB be tower and BC be its shadow
∴ Let AB = x

$$\begin{array}{rl}& \text{Then}BC=\sqrt{3}\times x=\sqrt{3}x\\ & \therefore \tan \theta =\frac{AB}{BC}\\ & =\frac{x}{\sqrt{3}x}\\ & =\frac{1}{\sqrt{3}}\\ & =\tan 30^{\circ }\\ & \therefore \theta =30^{\circ }\end{array}$$
∴ Angle of elevation of the sun$$\text{ = }30^{\circ }$$