ECZ 2016 · O-Level Paper 1 — Earth Geometry

What is the shortest distance over the Earth’s surface between A(32°N, 8°W) and B(40°N, 172°E)? [R = 6370 km, π = 22⁄7]

  • A. 6 006 km
  • B. 16 016 km
  • C. 12 012 km
  • D. 5 720 km

Verified working — step 1

Spot the special configuration: 8°W and 172°E differ by exactly 180°, so A and B share one great circle through the POLES - and the shortest route goes over the top.

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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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