Navigation Problems USCG Question #1696 (Set 50)

A vessel steams 666 miles on course 295°T from LAT 24°24'N, LONG 83°00'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 29°06'N, LONG 94°16'W

Using mid-latitude sailing: DLat = 666 * cos(295°) = 281.4' = 4°41.4' N. New Lat = 29°05.4'N. Mid-Lat = 26°44.7'. Departure = 666 * sin(295°) = -603.4 miles. DLong = -603.4 / cos(26°44.7') = -676.5' = 11°16.5' W. New Long = 94°16'W.

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