Navigation Problems USCG Question #845 (Set 25)

You depart LAT 33°45.0'N, LONG 118°30.0'W, and steam 2216 miles on course 250°T. What is the longitude of your arrival by Mercator sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option B — LONG 157°31.0'W

Mercator sailing formulas utilize meridional parts and the relationship $\tan(C) = \frac{D\text{Lo}}{m}$ to find arrival longitude. Following Bowditch procedures, multiplying the departure longitude by the calculated difference in longitude ($D\text{Lo}$) projected along course $250^\circ\text{T}$ across $2216$ miles yields $157^\circ31.0'\text{W}$.

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