ECZ 2011 · O-Level Paper 1 — Bearings

In the diagram, C is due south of A, AB = BC and the bearing of B from A is 110°. Find the bearing of C from B.

Diagram for ECZ 2011 · O-Level Paper 1
  • A. 290°
  • B. 250°
  • C. 070°
  • D. 200°

Verified working — step 1

AC points due south, so angle CAB = 180 - 110 = 70°. AB = BC makes the triangle isosceles, so angle BCA = 70° and angle ABC = 40°. The bearing of A from B is 110 + 180 = 290°, and C sits 40° round from A, giving 290 - 40 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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