The ratio of the length of a rod and its shadow is 1 : 3 The angle of elevation of the sum is

Answer: Option A

Let AB be rod and BC be its shadow
So that AB : BC = 1 : $$\sqrt{3}$$
Let $$\theta$$ be the angle of elevation

$$\begin{array}{rl}& \therefore \tan \theta =\frac{AB}{BC}=\frac{1}{\sqrt{3}}=\tan 30^{\circ }\\ & \left(\because \tan {30}^{\circ }=\frac{1}{\sqrt{3}}\right)\\ & \therefore \theta =30^{\circ }\end{array}$$
∴ Hence angle of elevation $$=30^{\circ }$$