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GCE Mathematics 1990 Question 27

Question 27

Latitude and Longitude

If the radius of the parallel of latitude 30°N is equal to the radius of the parallel of latitude θ°S, what is the value of θ?

  1. A.75°
  2. B.60°
  3. C.45°
  4. D.30°
  5. E.0°
Show the answer and explanation

Answer: D (30°)

Explanation

The radius of a parallel of latitude is R cos(latitude). R cos 30° = R cos θ, so θ = 30°.