You depart LAT 34°22'S, LONG 18°23'E, and steam 3174 miles on course 282°T. What is the longitude of your arrival by Mercator sailing?
Official USCG Answer & Rule Citation
Correct Answer: Option D — LONG 40°33.5'W
Mercator sailing requires calculating the difference in meridional parts (ΔM) between latitudes. Using the formula tan(Course) = DLo / ΔM, solve for DLo. With a course of 282°T and distance of 3174 miles, the resulting DLo applied to the starting longitude confirms the arrival at 40°33.5'W.
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