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USCG Exam PracticeThree-bearing fix and cocked-hat triangle

Using the doubling-the-angle technique, a vessel takes a relative bearing of 030° on a lighthouse. The navigator waits until the relative bearing doubles to 060°. At that moment, the distance run between the two bearings equals:

  1. A. Half the distance to the lighthouse at the time of the first bearing
  2. The distance to the lighthouse at the time of the second bearingCorrect
  3. C. The distance to the lighthouse at the time of the first bearing
  4. D. Twice the distance to the lighthouse at the time of the second bearing

Why B is correct

The doubling-the-angle method states that the distance run between the two bearings equals the distance from the vessel to the object at the moment the second (doubled) bearing is taken. Bowditch Ch. 7 §703.

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Using the doubling-the-angle technique, a vessel takes a relative b… — USCG Exam Practice · CaptainsGround