Navigation Problems USCG Question #1693 (Set 50)

A vessel steams 580 miles on course 083°T from LAT 13°12'N, LONG 71°12'W. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option C — LAT 14°23'N, LONG 61°19'W

Using mid-latitude sailing formulas: DLat = Dist * cos(Course) = 580 * cos(83°) = 70.7' N. New Lat = 14°23'N. Mid-Lat = 13°47.5'. Departure = Dist * sin(Course) = 575.5 miles. DLong = Dep / cos(Mid-Lat) = 592.3' = 9°52'W. New Long = 61°19'W.

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