ECZ 2016 · GCE Paper 2 · Question 7 — Bearings
Question from ECZ 2016 · GCE Paper 2 · Question 7
(a) Three towns Luzi (L), Muzi (M) and Puzi (P) are spaced as shown in the diagram. M is on a bearing of 060° from L and P is on a bearing of 105° from M. Given that M is 450 km from L and 600 km from P, calculate
(a(i)) the distance between L and P,[5]
Verified working — step 1
Bearing M to L = 060 + 180 = 240°; bearing M to P = 105°.(a(ii)) the area of triangle LMP,[3]
Verified working — step 1
Two sides LM and MP enclose angle LMP (135°).(a(iii)) angle MPL.[2]
Verified working — step 1
Sine rule: sinMPLLM = sinLMPLP.(b) In the figure below, O is the centre of the circle, the chord AB is perpendicular to OC and OC = 4.3 cm. Given that the chord AB is 38.2 cm, calculate the radius of the circle.[2]
Verified working — step 1
OC is perpendicular to AB, so C is the midpoint of AB: AC = 38.22 = 19.1 cm.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.
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