Navigation Problems USCG Question #1758 (Set 52)

A vessel at LAT 11°22'S, LONG 009°18'E heads for a destination at LAT 06°52'N, LONG 57°23'W. Determine the true course and distance by Mercator sailing.

Official USCG Answer & Rule Citation

Correct Answer: Option A — 285°T, 4,154.2 miles

Mercator sailing is applied to find the rhumb line between two points. By calculating the difference in latitude and the difference in meridional parts, the course is determined to be 285°T. The distance is then calculated using the secant of the course, resulting in 4,154.2 miles.

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