ECZ 2011 · O-Level Paper 2 · Question 6 — Trigonometry
Question from ECZ 2011 · O-Level Paper 2 · Question 6
(a) The diagram below shows Mr Mayanda's piece of land for building a house. A, B and C are on level ground as shown below. B is due south of C and due east of A. Given that AC = 100 m and BC = 60 m, calculate
(a(i)) the length of AB.[2]
Verified working — step 1
Angle ABC is a right angle, so AC is the hypotenuse.(a(ii)) the angle BAC.[2]
Verified working — step 1
BC is opposite angle BAC and AC is the hypotenuse, so use sine.(b) Simplify 3x - 4y - 2(x - 4y) - 2y.[2]
Verified working — step 1
Expand the bracket: -2(x - 4y) = -2x + 8y.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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