The length of a vertical rod and its shadow are in the ratio of $$2:\sqrt{12}.$$ Find the angle of elevation of the sun.​

Correct option is D

Given:

Ratio of height of rod : length of shadow = 2$$: \sqrt{12}$$​​

Formula Used:

For a vertical object and its horizontal shadow: $$\tan\theta=\dfrac{\text{height}}{\text{shadow}}$$​​

Solution:
Let the angle of elevation be $$\theta.$$​​
​$$\dfrac{\text{height}}{\text{shadow}}=\dfrac{2}{\sqrt{12}}$$​​

​$$=\dfrac{2}{2\sqrt{3}}=\dfrac{1}{\sqrt{3}}$$​​

​$$\tan\theta=\dfrac{1}{\sqrt{3}}$$​​
​$$\theta=30^\circ.$$​​