Navigation Problems USCG Question #1638 (Set 49)

A vessel steams 640 miles on course 047°T from LAT 34°45'N, LONG 140°00'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option A — LAT 42°01'N, LONG 149°57'E

Using mid-latitude sailing formulas: DLo = Departure / cos(Mid-Lat). With a distance of 640 miles and course 047°, calculate dLat (436.5'N) and Departure (468.1'). The mid-latitude is 36°53.5'N. Applying these yields a final position of LAT 42°01'N and LONG 149°57'E, consistent with standard navigation practice.

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