Navigation Problems USCG Question #1823 (Set 54)

You are steering 115°T, and a light is picked up dead ahead at a distance of 16.7 miles at 0522. You change course to pass the light 3.5 miles off abeam to port. If you are making 12 knots, what is your ETA at the position 3.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 0644

The distance to the abeam point is the square root of (16.7 squared minus 3.5 squared), which is 16.33 miles. At 12 knots, the time required is 16.33/12 multiplied by 60, equaling 82 minutes. Adding 82 minutes to the initial time of 0522 results in an ETA of 0644.

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