Navigation Problems USCG Question #1584 (Set 47)

Determine the great circle distance and initial course from LAT 31°57.0'S, LONG 115°52.0'E to LAT 24°47.0'N, LONG 66°59.0'E.

Official USCG Answer & Rule Citation

Correct Answer: Option C — 4407 miles, 314.5°T

Using the haversine formula or the cosine rule for spherical trigonometry, calculate the great circle distance between the two coordinates. The initial course is derived from the spherical triangle formed by the pole and the two positions, resulting in 4407 miles and 314.5°T.

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