How is a position fix obtained using bearings to two known objects?

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Multiple Choice

How is a position fix obtained using bearings to two known objects?

Explanation:
To determine a position with bearings, you derive lines of position from each known object. The bearing you measure to a known object defines a line along which your ship must lie, because the ship, the object, and the measured direction all align. Do this for two different known objects, plotting each corresponding line. The point where those two lines cross is your exact location. This is why taking simultaneous bearings to two known objects and plotting their lines of position gives a precise fix—the intersection uniquely identifies your position. Why the other options don’t fit: using distances to two known objects would require distance measurements and a different method (triangulation by distance), not bearings. A single bearing provides only a line, not a specific point, so it can’t yield a fix by itself. GPS data uses satellite trilateration, not bearings to two fixed, known objects, so it’s outside the described method.

To determine a position with bearings, you derive lines of position from each known object. The bearing you measure to a known object defines a line along which your ship must lie, because the ship, the object, and the measured direction all align. Do this for two different known objects, plotting each corresponding line. The point where those two lines cross is your exact location. This is why taking simultaneous bearings to two known objects and plotting their lines of position gives a precise fix—the intersection uniquely identifies your position.

Why the other options don’t fit: using distances to two known objects would require distance measurements and a different method (triangulation by distance), not bearings. A single bearing provides only a line, not a specific point, so it can’t yield a fix by itself. GPS data uses satellite trilateration, not bearings to two fixed, known objects, so it’s outside the described method.

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