Navigation Problems USCG Question #1753 (Set 52)

A vessel at LAT 45°36.0'N, LONG 11°36.0'W, heads for a destination at LAT 24°16.0'N, LONG 73°52.0'W. Determine the true course and distance by Mercator sailing.

Official USCG Answer & Rule Citation

Correct Answer: Option B — 247°T, 3299.3 miles

Mercator sailing calculations involve finding the difference in latitude and the difference in meridional parts. Using the formula tan(Course) = DLong / DMP, the course is determined to be 247°T. Applying the distance formula D = DLat / cos(Course) results in a total distance of 3299.3 miles.

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