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The shadow of a tower is √3 times its height. The angle of elevation of the sun is:

  • A.30°
  • B.45°
  • C.60°
  • D.75°

Answer: A

\[ \tan\theta = \frac{\text{height}}{\text{shadow}} = \frac{h}{\sqrt{3}\,h} = \frac{1}{\sqrt{3}} \]

\[ \theta = 30^{\circ} \]

A shadow longer than the object always means the sun is below 45°.

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