ECZ 2016 · O-Level Paper 2 · Question 9 — Earth Geometry
Question from ECZ 2016 · O-Level Paper 2 · Question 9
(a) The points A, B, C and D are on the surface of the earth. (Take π = 3.142 and R = 3437 nm)
(a(i)) Find the difference in latitude between points C and B.[1]
Verified working — step 1
B is at 50 N and C is at 70 S, on opposite sides of the equator.(a(ii)) Calculate the length of the circle of latitude 50° N in nautical miles.[2]
Verified working — step 1
The circle of latitude 50 N has radius r = R cos 50.(a(iii)) Find the distance AD in nautical miles.[3]
Verified working — step 1
A and D share longitude 75 W, so AD runs along a meridian (great circle).(b) The cross section of a rectangular tank measures 1.2 m by 0.9 m. If it contains fuel to a depth of 10 m, find the number of litres of fuel in the tank. (1 m3 = 1000 litres.)[3]
Verified working — step 1
Volume = length x width x depth.(c) A cone has a perpendicular height of 12 cm and slant height of 13 cm. Calculate its total surface area. (Take π = 3.142)[3]
Verified working — step 1
By Pythagoras: r2 + 122 = 132, so r2 = 25 and r = 5 cm.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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