question_answer

The shadow of a stick of height 1 metre, when the angle of elevation of the sun is 60, will be

A) \[\frac{1}{\sqrt{3}}\,\,meter\]

B) \[\frac{1}{3}\,\,meter\]

C) \[\sqrt{3}\,\,meter\]

D) \[3\,\,meter\]

Correct Answer: A

Solution :

 Let \[AB=1\text{ }m\] be the stick. Let AC be the shadow of length x. From right angled \[\Delta \,ACB,\]                 \[\tan \,{{60}^{o}}=\frac{1}{x}\]                 or            \[\sqrt{3}=\frac{1}{x}\] or            \[x=\frac{1}{\sqrt{3}}m\]