Navigation Problems USCG Q#820 (Set 24)

Determine the great circle distance and initial course from LAT 33°53.3'S, LONG 18°23.1'E to LAT 40°27.0'N, LONG 73°49.4'W.

Official USCG Answer & Rule Citation

Correct Answer: Option D — 6763.0 miles, 304.5°T

Applying spherical navigational formulas from Bowditch to calculate the great circle track from Cape Town to New York, the mathematically derived initial course and total distance using the cosine-haversine method equate precisely to 6763.0 miles on an initial heading of 304.5°T.

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