Navigation Problems USCG Question #1745 (Set 52)

A vessel steams 1082 miles on course 047°T from LAT 37°18.0'N, LONG 24°40.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option D — LAT 49°36.0'N, LONG 06°28.0'W

Mercator sailing requires calculating the difference in latitude (DLat) and the difference in meridional parts (DMP). Using the formula tan(Course) = DLong / DMP, the vessel's change in latitude and longitude over 1082 miles results in an arrival position of 49°36.0'N, 06°28.0'W, as derived from standard navigation tables.

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