Navigation Problems USCG Question #1619 (Set 48)

Your vessel receives a distress call from a vessel reporting her position as LAT 35°01'S, LONG 18°51'W. Your position is LAT 30°18'S, LONG 21°42'W. Determine the true course from your vessel to the vessel in distress by Mercator sailing.

Official USCG Answer & Rule Citation

Correct Answer: Option C — 153°T

Mercator sailing employs the difference in meridional parts (m) to determine the course angle. Using the formula tan(Course) = DLo / m, where m is the difference between meridional parts of the two latitudes, the calculation results in a true course of 153°T, adhering to standard rhumb line navigation principles.

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