Navigation Problems USCG Question #1819 (Set 54)

You are steering 143°T, and a light is picked up dead ahead at a distance of 18.2 miles at 2006. You change course to pass the light 5.5 miles off abeam to port. If you are making 14.5 knots, what is your ETA at a position 5.5 miles off the light?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 2118

The distance to the abeam point is the square root of (18.2 squared minus 5.5 squared), which is 17.35 miles. At 14.5 knots, the time required is 17.35/14.5 multiplied by 60, equaling 72 minutes. Adding 72 minutes to the initial time of 2006 results in an ETA of 2118.

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