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Calcular la distancia ortodrómica entre el punto A (l= 30° 37,0’ N; L= 143° 38,0’ E), hasta el punto B (l= 29° 28,0’ N; L= 127° 30,0’ W).Calculate the great-circle distance from point A (l = 30° 37.0’ N, L = 143° 38.0’ E) to point B (l = 29° 28.0’ N, L = 127° 30.0’ W).

Show the answer

Correct answer: b) 4476.7 miles.

Why it is correct

Crossing the antimeridian, ΔL = 360º − (143º 38′ + 127º 30′) = 88º 52′. Applying cos D = sin l1 sin l2 + cos l1 cos l2 cos ΔL gives cos D = 0.26539, D = 74.612º, and 74.612 × 60 = 4476.7 miles.

Why the others are not

  • a) Does not match the spherical triangle solution.
  • c) Does not match the spherical triangle solution.
  • d) Does not match the spherical triangle solution.

How to work it out in the exam

  1. If L1 + L2 > 180º, take ΔL = 360º − (L1 + L2).

Where this question comes from

Try it: Sight reduction

Pending instructor review. Machine translation, not reviewed.