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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

Let the height be h. The shadow length is h√3.

\(\tan \theta = \frac{\text{height}}{\text{shadow}} = \frac{h}{h\sqrt{3}} = \frac{1}{\sqrt{3}}\).

The angle whose tangent is \(1/\sqrt{3}\) is 30°.

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