A vessel steams 720 miles on course 058°T from LAT 30°06.0'S, LONG 31°42.0'E. What are the latitude and longitude of the point of arrival by mid-latitude sailing?

Correct Answer: Option B — LAT 23°44'S, LONG 43°07'E

Using mid-latitude sailing: DLat = 720 * cos(58°) = 381.6' = 6°21.6' N. New Lat = 23°44.4'S. Mid-Lat = 26°55.2'. Departure = 720 * sin(58°) = 610.7 miles. DLong = 610.7 / cos(26°55.2') = 684.7' = 11°24.7' E. New Long = 43°07'E.