question_answer

The length of a shadow of a vertical tower is \[\frac{1}{\sqrt{3}}\]times its height. The angle of elevation of the Sun is

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

B) \[46{}^\circ \]

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

D) \[90{}^\circ \]

Correct Answer: C

Solution :

[c] Let height \[=h\] Then, length of shadow \[=\frac{h}{\sqrt{3}}\]in the figure, \[\tan \theta =\frac{h}{h}\]\[\Rightarrow \]\[\tan \theta =\sqrt{3}\] \[\Rightarrow \]   \[\theta =60{}^\circ \]