question_answer

What is the angle of elevation of the sun when the shadow of a pole of height x m is \[\frac{x}{\sqrt{3}}m\]?

A) \[~30{}^\circ \]                       

B) \[45{}^\circ \]

C) \[60{}^\circ \]                          

D)  

Correct Answer: C

Solution :

Here, 9 is the angle of elevation \[\tan \theta =\frac{Perpendicular}{Base}=\frac{x}{\frac{x}{\sqrt{3}}}\] =     \[\frac{\sqrt{3}x}{x}=3\,\,Here,\,\,\tan \theta =\sqrt{3}\] So, \[\theta ={{60}^{{}^\circ }}\]