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GCE Mathematics 1989 Question 21

Question 21

Bearings

Points X and Y are respectively 20km North and 9km East of a point O. What is the bearing of Y from X? Correct to the nearest degree.

  1. A.024°
  2. B.114°
  3. C.156°
  4. D.204°
  5. E.336°
Show the answer and explanation

Answer: C (156°)

Explanation

From X, Y is south-east. tan θ = 9/20 gives θ ≈ 24° east of south, so the bearing is 180° − 24° = 156°.