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WAEC Mathematics 1988 Question 14

Question 14

Bearings

Points P and Q are respectively 24m north and 7m east of point R. What is the bearing of Q from P to the nearest whole degree?

  1. A.16°
  2. B.17°
  3. C.73°
  4. D.106°
  5. E.164°
Show the answer and explanation

Answer: E (164°)

Explanation

From P, Q lies to the south-east. tan θ = 7/24 gives θ ≈ 16° east of south, so the bearing is 180° − 16° = 164°.