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GCE Mathematics 1990 Question 41

Question 41

Trigonometry

If the shadow of a pole 7m high is ½ its length, what is the angle of elevation of the sun, correct to the nearest degree?

  1. A.90°
  2. B.63°
  3. C.60°
  4. D.26°
  5. E.0°
Show the answer and explanation

Answer: B (63°)

Explanation

The shadow is 3.5m, so tan θ = 7/3.5 = 2 and θ = 63.4° ≈ 63°.