Navigation Problems USCG Question #834 (Set 24)

The great circle distance from LAT 25°50'N, LONG 77°00'W to LAT 35°56'N, LONG 06°15'W is 3616 miles, and the initial course is 061.7°T. The position of the vertex is LAT 37°34.9'N, LONG 25°59.0'W. Determine the latitude intersecting the great circle track 600 miles west of the vertex, along the great circle track.

Official USCG Answer & Rule Citation

Correct Answer: Option D — 36°54.9'N

Calculating intermediate great circle positions relative to the vertex utilizes the spherical law of cosines or haversine formulas per Bowditch, ensuring precise latitude determination for waypoint plotting along the optimal track.

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