Navigation Problems USCG Question #693 (Set 20)

You depart LAT 37°36'N, LONG 123°00'W, and steam 2022 miles on course 241°T. What is the longitude of your arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option D — LONG 156°51.7'W

Mercator sailing formulas utilize middle latitude or meridional parts to relate departure coordinates, course, and distance to arrival coordinates. Using meridional difference ($\mup$) and course angle, calculate the difference in longitude ($\lambda$), then apply it algebraically to departure longitude to find arrival longitude.

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