ECZ 2012 · O-Level Paper 2 · Question 7 — Trigonometry
Question from ECZ 2012 · O-Level Paper 2 · Question 7
(a) The diagram below shows Kapenta (K), Bream (B) and Chisense (C) fishing camps on lake Manzi. B is 20 km due east of K, BC = 16 km and KC = 30.4 km.
(a(i)) Calculate
(a(i)(a)) angle KBC to the nearest degree,[5]
Verified working — step 1
Three sides known, so use the cosine rule for the angle.(a(i)(b)) the area of triangle KBC.[3]
Verified working — step 1
Two sides enclose the angle at B, so use the area rule.(a(ii)) Another fishing camp Ndombe (N) is on KB produced, such that angle BNC = 90°. Calculate the distance between C and N.[2]
Verified working — step 1
KBN is a straight line, so angle CBN = 180 - 114.77 = 65.23°.(b) Mrs Kongolani obtained a seasonal loan of K5 000 000 from a bank, payable over 1 12 years at the rate of 20% per annum. How much did she pay to the bank at the end of 1 12 years?[2]
Verified working — step 1
Simple interest: I = PRT100 with T = 1.5 years.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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