question_answer

Which one of the following is the shadow of a two meter high post on a horizontal plane through its foot, when the altitude of the sum is \[30{}^\circ \]?

A)  \[3\sqrt{3}\,m\]             

B)         \[\sqrt{7}\,m\]

C)  \[2\sqrt{3}\,m\]                               

D)  \[\frac{1}{\sqrt{3}}\,m\]

Correct Answer: C

Solution :

 If OA is the post and OB is the shadow, then \[OB=OA\,\cot {{30}^{o}}=2\sqrt{3}m\]