Navigation Problems USCG Question #1740 (Set 52)

A vessel steams 1650 miles on course 077°T from LAT 12°47'N, LONG 45°10'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option D — LAT 18°58'N, LONG 72°52'E

Mercator sailing uses the difference in meridional parts (DMP) to calculate the change in longitude. With a distance of 1650 miles and course 077°T, the DLat is 371.4' and the DMP is 382.7. Solving for DLong gives 1662', resulting in an arrival at 18°58'N, 72°52'E.

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