Engineering Board Exam Reviewer · Spherical Trigonometry · hard

Manila is at about 14.6° N, 121.0° E and Tokyo at about 35.7° N, 139.7° E. Using a spherical Earth, find the great-circle distance between them in nautical miles (one minute of arc equals one nautical mile).

  1. 1692
  2. 1266
  3. 1617
  4. 2388

Answer

C. 1617

Solution

d= 1 2+ 1 2 = 14.6° 35.7°+ 14.6° 35.7° 18.7°=0.8915, so d=26.94° and the distance is 26.94×60 1617 nautical miles.

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