ECZ 2020 · GCE Paper 2 · Question 10 — Earth Geometry
Question from ECZ 2020 · GCE Paper 2 · Question 10
(a) The diagram below shows three points P, Q and R on the surface of the earth. [Take π as 3.142 and R = 6 370 km]
(a(i)) Calculate the difference in longitude between P and R.[2]
Verified working — step 1
P (55 W) and R (24 E) sit on opposi…(a(ii)) Given that the distance between P and Q on latitude X°N is 4392.079611 km, calculate X.[2]
Verified working — step 1
Distance along latitude X is (longitude difference360) x 2 π R cos X.(a(iii)) Calculate the distance QR on longitude 24° E.[2]
Verified working — step 1
Q (60 N) and R (60 S) share meridian 24 E, on opposite sides of the equator.(b) The figure ABCDEFGH below is a frustum of a pyramid. EFGH and ABCD are squares of sides 8 cm and 12 cm respectively. Given that the height of the frustum is 3 cm, calculate its volume.[6]
Verified working — step 1
The frustum comes from cutting a small pyramid off a large one; they are similar with side ratio 812 = 23.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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