Navigation Problems USCG Question #1744 (Set 52)

You depart LAT 40°42.0'N, LONG 74°01.0'W, and steam 3365.6 miles on course 118°T. What is the longitude of your arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 17°41.0'W

Mercator sailing utilizes the difference in meridional parts (DMP) to calculate longitude. By applying the formula tan(Course) = Departure / DLat and relating departure to DLong via the mean latitude or DMP, the resulting change in longitude confirms the arrival at 17°41.0'W, consistent with Bowditch principles.

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