A vessel steams 1106 miles on course 249°T from LAT 13°30.0'N, LONG 144°30.3'E. What is the latitude and longitude of the point of arrival by Mercator sailing?

Correct Answer: Option C — LAT 06°54.0'N, LONG 127°08.0'E

Mercator sailing employs the difference in meridional parts (ΔM) to account for the convergence of meridians. Using the formula tan(course) = ΔLong / ΔM, the difference of longitude is calculated as 17°22.3'W. Applying this to the departure longitude results in the arrival position of 127°08.0'E.