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?

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

Mid-latitude sailing equations compute latitude and longitude changes by applying departure and middle-latitude corrections. Steaming $576$ miles on course $260^\circ\text{T}$ from the origin point per Bowditch methods results in an arrival position of LAT $38^\circ56'\text{N}$, LONG $62^\circ42'\text{W}$.