ECZ 2025 · GCE Paper 2 · Question 11 — Earth Geometry
In the diagram, the points T and R lie on the equator while P and Q are on latitude 40°N; P and T on longitude 130°W, Q and R on longitude 50°E [π = 3.142, R = 6370 km].
(a(i)) Find the difference in longitude between points T and R.[1]
Verified working — step 1
T and P lie on longitude 130°W; Q and R lie on longitude 50°E.(a(ii)) Find the distance PQ along latitude 40°N in kilometres.[3]
Verified working — step 1
Distance along a latitude = (difference in longitude360) × 2πR cos(latitude)(a(iii)) Calculate the circumference of the circle of latitude 40°N in kilometres.[2]
Verified working — step 1
Circumference of latitude 40°N = 2πR cos40°(b) The dimensions of the top and bottom rectangles of the frustum of a right pyramid are 2cm by 6cm and 5cm by 15cm respectively. Given that the height is 10cm, calculate its volume.[6]
Verified working — step 1
For a frustum: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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