Navigation Problems USCG Question #1697 (Set 50)

A vessel steams 576 miles on course 260°T from LAT 40°36'N, LONG 50°24'W. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

Official USCG Answer & Rule Citation

Correct Answer: Option B — LAT 38°56'N, LONG 62°42'W

Mid-latitude sailing utilizes the mean latitude to convert departure into difference of longitude. By calculating the change in latitude (dLat) and the mean latitude, the departure (p = dist × sin(course)) is divided by the cosine of the mid-latitude to derive the difference of longitude, yielding the final position.

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