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WAEC Mathematics 2010 Question 46

Question 46

Bearings

In the diagram, ∠WOX = 60°, ∠YOE = 50° and ∠OXY = 30°. What is the bearing of X from Y?

Diagram for this question
  1. A.300°
  2. B.240°
  3. C.190°
  4. D.150°
Show the answer and explanation

Answer: A (300°)

Explanation

∠XOY = 180° − 60° − 50° = 70°, so ∠OYX = 80°. The bearing of O from Y is 040° + 180° = 220°, and X is 80° clockwise from that direction: 220° + 80° = 300°.