ECZ 2021 · GCE Paper 1 — Bearings

In the diagram, A, B and C are points on level ground. The bearing of B from A is 032°, angle ACB = 100° and AC = BC. Find the bearing of A from C.

Diagram for ECZ 2021 · GCE Paper 1
  • A. 072°
  • B. 212°
  • C. 252°
  • D. 288°

Verified working — step 1

Since AC = BC, triangle ABC is isosceles and the base angles are (180° − 100°) ÷ 2 = 40° each, so angle BAC = 40°. The bearing of C from A is therefore 032° + 40° = 072°. The bearing of A from C is the back bearing: 072° + 180° = …

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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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