ECZ 2016 · GCE Paper 1 — Trigonometry

In the diagram, MP = 13 km, QR = 6 km and MR = 24 km. MR is parallel and equal to TQ, PM̂R = QR̂M = 90° and TP̂Q = 75°. T lies on MP with TQMR forming a rectangle. Find PQ̂T.

Diagram for ECZ 2016 · GCE Paper 1
  • A. 25°
  • B. 75°
  • C. 15°
  • D. 105°

Verified working — step 1

TQ is parallel to MR, and PM̂R = 90°, so PT̂Q = 90° too. In triangle PTQ: PQ̂T = 180° − 90° − 75° = …

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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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