ECZ 2013 · O-Level Paper 2 · Question 9 — Trigonometry
Question from ECZ 2013 · O-Level Paper 2 · Question 9
(a) Mr Kafola earns a monthly salary of K2 500.00. The employer gives him a 10 12 % increase. How much more does he earn?[2]
Verified working — step 1
Increase = 10 12 % of K2 500.(b) M, T and R are Food Reserve Agency Maize buying points in a given district. T is 32 km from M on a bearing of 060° and R is 27 km from M on a bearing of 130° as shown in the diagram below. Calculate
(b(i)) angle RMT,[1]
Verified working — step 1
Both bearings are measured from the same North line at M.(b(ii)) the area of triangle MTR,[2]
Verified working — step 1
Two sides enclose the angle at M, so use the area rule.(b(iii)) RT to the nearest kilometre,[5]
Verified working — step 1
Two sides and the included angle: cosine rule.(b(iv)) MS, given that there is a shopping centre S along RT such that MS is the shortest distance from M.[2]
Verified working — step 1
The shortest distance from M to RT is the perpendicular height MS.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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