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WAEC Mathematics 1999 Question 30

Question 30

Bearings

The diagram shows the position of three ships A, B and C at sea. B is due north of C such that |AB| = |BC| and the bearing of B from A = 040°. What is the bearing of A from C?

Diagram for this question
  1. A.040°
  2. B.070°
  3. C.110°
  4. D.290°
Show the answer and explanation

Answer: D (290°)

Explanation

∠ABC = 40° (from the north–south line at B), so the equal base angles are 70°. A is 70° west of north from C: bearing 360 − 70 = 290°.