Navigation Problems USCG Question #703 (Set 20)

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 C — 285°T, 4,154.2 miles

Mercator sailing calculations use true differences in latitude and longitude converted to meridional parts. Applying Bowditch formulas, $\tan(Course) = \Delta L / \Delta m$, determining the rhumb line true course of 285°T and distance of 4,154.2 miles across hemispheres.

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