ECZ 2014 · O-Level Paper 2 · Question 7 — Trigonometry
Question from ECZ 2014 · O-Level Paper 2 · Question 7
(a) Positions of Kabwela (K), Chapa (C) and Muzi (M) are as shown in the diagram below. Chapa is 78 km from Kabwela and Muzi is 123 km from Kabwela.
(a(i)) Given that angle CKM = 81°, calculate the area of triangle CMK.[3]
Verified working — step 1
Two sides enclose the angle at K, so use the area rule.(a(ii)) Calculate the distance CM.[5]
Verified working — step 1
Two sides and the included angle: cosine rule.(a(iii)) A company has been contracted to construct a road from Muzi (M) to Chapa (C). Find the total cost of constructing this road, if the company charges K215 000.00 per kilometre.[2]
Verified working — step 1
Cost = distance x rate per kilometre.(b) Mrs Mwasona invested K800 000.00 for 4 years at 5% per annum simple interest with a certain bank. How much money will be in her account at the end of the period?[2]
Verified working — step 1
Simple interest: I = PRT100.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