You depart LAT 22°35.0'N, LONG 157°30.0'W, and steam 4505.0 miles on course 135°T. What are the latitude and longitude of your arrival by Mercator sailing?

Correct Answer: Option B — 30°30.5'S, 102°35.3'W

Mercator sailing uses the difference in latitude and the difference in longitude (departure) to find the arrival position. Using the formulas for meridional parts and departure, the calculation confirms an arrival at 30°30.5'S, 102°35.3'W, consistent with the standard procedures outlined in Bowditch for long-distance rhumb line navigation.