A vessel steams 1082 miles on course 047°T from LAT 37°18.0'N, LONG 24°40.0'W. What is the latitude and longitude of the point of arrival by Mercator sailing?

Correct Answer: Option D — LAT 49°36.0'N, LONG 06°28.0'W

Mercator sailing utilizes the meridional parts difference (∆m) between departure and arrival latitudes to compute course and longitude difference (∆L). Applying formulas from Bowditch, $\tan(C) = \frac{\text{Departure } \Delta L}{\Delta m}$, producing arrival LAT 49°36.0'N, LONG 06°28.0'W.