Navigation Problems USCG Question #602 (Set 18)

Your vessel receives a distress call from a vessel reporting her position as LAT 35°01.0'S, LONG 18°51.0'W. Your position is LAT 35°01.0'S, LONG 21°42.0'W. Determine the true course and distance from your vessel to the vessel in distress by parallel sailing.

Official USCG Answer & Rule Citation

Correct Answer: Option C — 090°T, 140.0 miles

Parallel sailing formulas dictate that departure equals difference in longitude multiplied by the cosine of the latitude. With identical latitudes of 35°01.0'S, the distance is 161 degrees of longitude multiplied by 60 minutes, scaled by cos(35°01.0'), yielding 140.0 miles due east on true course 090°T.

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