Navigation Problems USCG Question #1503 (Set 45)

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 D — LONG 157°31.0'W

Using Mercator sailing, calculate the difference in latitude and the meridional parts. Apply the formula tan(Course) = Departure / Meridional Parts Difference to find the DLo. Convert the DLo to minutes of longitude and apply it to the departure longitude to reach 157°31.0'W.

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