ECZ 2022 · GCE Paper 2 · Question 9 — Earth Geometry
Question from ECZ 2022 · GCE Paper 2 · Question 9
(a) In the diagram below, M, L and K are points on the surface of the earth. [π = 3.142 and R = 3 437 nm]
(a(i)) Determine the difference in longitudes between points M and K.[2]
Verified working — step 1
M (48 W) and K (32 E) sit on opposi…(a(ii)) Calculate, in nautical miles, the distance between
(a(ii)(a)) M and K along latitude 80° N,[2]
Verified working — step 1
Along latitude 80 N, distance (nm) = (longitude difference in minutes) x cos(latitude).(a(ii)(b)) K and L along longitude 32° E.[2]
Verified working — step 1
K (80 N) and L (85 S) share meridian 32 E, on opposite sides of the equator.(b) The following diagram shows the frustum of a cone. The top and bottom diameters are 6 cm and 18 cm respectively. [Take π as 3.142] Given that its perpendicular height is 10 cm, calculate the volume of the frustum.[6]
Verified working — step 1
Frustum of a cone: V = (13) π h (R2 + Rr + r2).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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