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- Q141 - Navigation Problems: Near Coastal
184. You are running coastwise in hazy weather; the visibility improves just before you pass a lighthouse abeam. Your speed is 15 knots, and the lighthouse was abeam at 1015. At 1037 the lighthouse is 4 points abaft the beam. What is your distance off at the second bearing?
The distance off at the second bearing is 7.8 NM. The ship's track, the lighthouse, and the bearings form a right isosceles triangle; the distance run (5.5 NM) is one leg, and the distance off is the hypotenuse (5.5√2 ≈ 7.8 NM).
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