Navigation Problems USCG Question #1833 (Set 55)

You are steering 078°T, and a light is picked up dead ahead at a distance of 15.6 miles at 2316. You change course to pass the light 4.5 miles off abeam to port. If you are making 17 knots, what is your ETA at the position 4.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 0009

Apply the Pythagorean theorem to find the distance to the abeam point: square root of (15.6 squared minus 4.5 squared) equals 14.93 miles. Dividing by 17 knots yields 53 minutes of travel time. Adding this to the 2316 start time results in an ETA of 0009.

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