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JAMB Mathematics 1992 Question 29

Question 29

Bearings

X is a point due east of Y on a coast. Z is another point on the coast but 6√3km due south of Y. If the distance XZ is 12km, calculate the bearing of Z from X.

  1. A.240°
  2. B.210°
  3. C.150°
  4. D.60°
Show the answer and explanation

Answer: B (210°)

Explanation

Triangle XYZ is right-angled at Y, so sin(angle YXZ) = 6√3/12 = √3/2 and angle YXZ = 60°. From X, Y is due west (270°), and Z is 60° further round towards the south: 270° − 60° = 210°.