Navigation Problems USCG Question #847 (Set 25)

A vessel steams 666 miles on course 135°T from LAT 40°24.0'N, LONG 74°30.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option C — LAT 32°33.0'N, LONG 64°46.0'W

Per Bowditch navigation principles, Mercator sailing computes the latitude of arrival via departure plus latitude difference, and longitude via meridional parts. Steaming $666$ miles on course $135^\circ\text{T}$ results in position coordinates of LAT $32^\circ33.0'\text{N}$, LONG $64^\circ46.0'\text{W}$.

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