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USCG Exam PracticeVisual piloting — three-bearing fixes, danger bearings

A vessel is transiting a channel and the navigator takes successive bearings on a single lighthouse. The relative bearing at the first observation is 045° relative and at the second observation is 090° relative. What technique has been applied, and what distance information does it yield?

  1. A. A danger bearing; it indicates the vessel is inside a safe arc
  2. Doubling-the-angle on the bow; the distance run between the two bearings equals the distance to the lighthouse at the time of the second bearingCorrect
  3. C. A running fix by advancing the first LOP; the distance to the lighthouse equals half the distance run
  4. D. CBDR analysis; the constant bearing indicates risk of collision with the lighthouse

Why B is correct

Bowditch Ch. 7 §703 describes the doubling-the-angle technique: when the relative bearing doubles (here 045° to 090°), the distance run between the two bearings equals the distance to the object at the time of the second bearing.

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A vessel is transiting a channel and the navigator takes successive… — USCG Exam Practice · CaptainsGround