ECZ 2016 · GCE Paper 1 — Earth Geometry

A plane flew from town A(67°S, 40°E) to a town B(23°N, 40°E). Calculate the distance AB in kilometres. [R = 6370 km, π = 227]

  • A. 5 005 km
  • B. 10 010 km
  • C. 40 040 km
  • D. 5 400 km

Verified working — step 1

A and B are on the same meridian (40°E), so the angular distance is 67° + 23° = 90° (crossing the equator, the latitudes ADD). Distance = (90360) × 2πR = (14) × 2 × (227) × 6370 = (14) × 40 040 = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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