Navigation Problems USCG Question #1829 (Set 54)

You are steering 257°T, and a light is picked up dead ahead at a distance of 13.3 miles at 2016. You change course to pass the light 4 miles off abeam to starboard. If you are making 18.5 knots, what is your ETA at the position 4 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 2057

Apply the Pythagorean theorem to the triangle formed by the initial distance and the desired passing distance. The distance to the abeam point is the square root of (13.3 squared minus 4 squared), equaling 12.68 miles. Dividing by 18.5 knots yields 41 minutes, resulting in an ETA of 2057.

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