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, and PM̂R = QR̂M = 90°. T lies on MP with TQMR forming a rectangle. Find the length PQ.
- A. 25 km
- B. 31 km
- C. 26 km
- D. 17 km
Verified working — step 1
TQMR is a rectangle, so TQ = MR = 24 km and MT = QR = 6 km, leaving PT = 13 − 6 = 7 km. In right triangle PTQ: PQ = √(7² + 24²) = √(49 + 576) = √625 = …The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question