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If the height of a vertical pole is equal to the length of its shadow on the ground, the angle of elevation of the sun is:

  • A.30°
  • B.45°
  • C.60°
  • D.90°

Answer: B

Let the height be h and the shadow length be s. We are given h = s.

The angle of elevation θ is given by \(\tan \theta = \frac{\text{height}}{\text{shadow}} = \frac{h}{s}\).

Since h = s, \(\tan \theta = 1\).

The angle whose tangent is 1 is 45°.

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