Navigation Problems USCG Question #1762 (Set 52)

Your vessel is on a course of 079°T at 11 knots. At 0152 a light bears 105.5°T, and at 0209 the light bears 124°T. At what time and at what distance off will your vessel be when abeam of the light?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 0226, 3.1 miles

This is a running fix problem using the relative bearing method. The time to run and distance off abeam are calculated using the formula: Distance = (Run * sin(Relative Bearing 1)) / sin(Change in Bearing). Applying these principles, the vessel reaches the abeam position at 0226 at 3.1 miles.

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