Navigation Problems USCG Question #1815 (Set 54)

You are steering 349°T, and a light is picked up dead ahead at a distance of 17.2 miles at 2122. You change course to pass the light 4.5 miles off abeam to port. If you are making 19.5 knots, what is your ETA at the position 4.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 2213

Calculate the distance to the abeam position using the Pythagorean theorem: square root of (17.2 squared minus 4.5 squared) equals 16.6 miles. At 19.5 knots, the time required is 16.6/19.5 multiplied by 60, which is 51 minutes. Adding 51 minutes to 2122 results in an ETA of 2213.

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