Navigation Problems USCG Question #1826 (Set 54)

You are steering 163°T, and a light is picked up dead ahead at a distance of 11 miles at 0142. You change course to pass the light 2 miles off abeam to starboard. If you are making 13 knots, what is your ETA at the position 2 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 0232

The distance to the abeam point is the square root of (11 squared minus 2 squared), which is 10.82 miles. At 13 knots, the time required is 10.82/13 multiplied by 60, equaling 50 minutes. Adding 50 minutes to the initial time of 0142 results in an ETA of 0232.

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