ECZ 2011 · O-Level Paper 1 — Earth Geometry

An aeroplane flew from point A(60 S, 30 W) to point B(60 S, 60 E). Taking π = 227, R = 6370 km and cos 60 = 0.50, find the distance covered in kilometres.

  • A. 10 010 km
  • B. 20 020 km
  • C. 5 005 km
  • D. 2 502.5 km

Verified working — step 1

Both points are on latitude 60 S, so the difference in longitude is 30 + 60 = 90°. Distance = (90360) x 2 x (227) x 6370 x cos 60 = (14) x 40040 x 0.5 = …

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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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