ECZ 2020 · GCE Paper 2 · Question 9 — Trigonometry
Positions of a Guava (G) tree, Orange (O) tree and Lemon (L) tree on a farm: LG = 10.1m, OG = 14.2m and angle OLG = 40°.
(a(i)) Calculate angle OGL.[5]
Verified working — step 1
Use the Sine Rule. First find angle LOG (opposite LG), using the known angle OLG (opposite OG):(a(ii)) Calculate the area of triangle OGL.[2]
Verified working — step 1
Area = ½ × LG × OG × sin(OGL)(a(iii)) Calculate the shortest distance from L to OG.[2]
Verified working — step 1
Let h = shortest distance from L to line OG.(b) Solve the equation 5 cos θ = 3 for 0° ≤ θ ≤ 180°.[1]
Verified working — step 1
5cosθ = 3(c) Simplify (99m3 n2 / 20p2 q3) ÷ (33m4 n40p2 q3).[2]
Verified working — step 1
(99m3n2/20p2q3) ÷ (33m4n40p2q3)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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