Navigation Problems USCG Question #1514 (Set 45)

You sight a light 9° on your starboard bow at a distance of 21 miles. Assuming you make good your course, what will be your distance off the light when abeam?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 3.3 miles

The distance off when abeam is calculated using the formula: Distance = Distance observed * sin(relative bearing). With a distance of 21 miles and a relative bearing of 9 degrees, the calculation 21 * sin(9 degrees) equals approximately 3.28 miles, which rounds to 3.3 miles as the correct distance off.

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