Navigation Problems USCG Question #621 (Set 18)

On September 9 your 2130 zone time (ZD +5) DR position is LAT 45°08'N, LONG 82°38'W. At that time, you observe Polaris bearing 000.5°pgc. The chronometer time of the observation is 02h 26m 09s, and the chronometer is 1m 43s slow. The variation is 8.7°W. What is the gyro error?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 0.7°E

Polaris observations provide true azimuth very close to 000° when corrected for local hour angle. Comparing the true bearing derived from tabulated data against the gyro bearing (pgc) isolates the angular discrepancy, yielding the specified gyro error following standard navigational reduction formulas.

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