Navigation Problems USCG Question #1764 (Set 53)

Your vessel is on a course of 207°T at 13 knots. At 0539 a light bears 180.5°T, and at 0620 the light bears 162°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 — 0701, 8.9 miles

The running fix calculation requires determining the distance run between bearings and applying the sine rule for the triangle formed by the vessel's track and the light. Solving for the distance off at the second bearing and the time to reach the abeam position yields 0701 and 8.9 miles.

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