Navigation Problems USCG Question #1752 (Set 52)

Your vessel receives a distress call from a vessel reporting her position at LAT 5°24'N, LONG 31°16'W. Your position is LAT 2°39'S, LONG 39°24'W. Determine the distance from your vessel to the vessel in distress by Mercator sailing.

Official USCG Answer & Rule Citation

Correct Answer: Option C — 688.7 miles

Mercator sailing is used to find the distance between two points by converting the difference in latitude and meridional parts into a rhumb line distance. Using the formula Distance = DLat / cos(Course) or the Pythagorean relationship with DMP, the calculated distance between these coordinates is 688.7 miles.

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