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What is the angle of elevation of the Sun. when the shadow of a pole of height x m is \( \Large \frac{x}{\sqrt{3}} \)

A) \( \Large 30 ^{\circ} \)
B) \( \Large 45 ^{\circ} \)
C) \( \Large 60 ^{\circ} \)
D) \( \Large 75 ^{\circ} \)

Correct Answer:



C) \( \Large 60 ^{\circ} \)

Description for Correct answer:
Here, \( \Large \theta \) is the angle of elevation.

\( \Large \tan \theta = \frac{Perpendicular}{Base} = \frac{x}{\frac{x}{\sqrt{3}}} \)

= \( \Large \frac{\sqrt{3}x}{x} = \sqrt{3} \)

Here, \( \Large \tan \theta = \sqrt{3} \)

So, \( \Large \theta = 60 ^{\circ} \) \( \Large \left[ \because \tan 60 ^{\circ} = \sqrt{3} \right] \)

Part of solved Height and Distance questions and answers : >> Elementary Mathematics >> Height and Distance

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