Navigation Problems USCG Question #1824 (Set 54)

You are steering 173°T, and a light is picked up dead ahead at a distance of 13.9 miles at 0054. You change course to pass the light 4.5 miles off abeam to port. If you are making 21 knots, what is your ETA at the position 4.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 0131

The distance to the abeam point is the square root of (13.9 squared minus 4.5 squared), which is 13.15 miles. At 21 knots, the time required is 13.15/21 multiplied by 60, equaling 37 minutes. Adding 37 minutes to the initial time of 0054 results in an ETA of 0131.

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