Navigation Problems USCG Question #1608 (Set 48)

At 1524 ZT on 14 June, in DR position LAT 30°51'N, LONG 30° 02'W, you observe an amplitude of the Moon. The center of the Moon is on the visible horizon and bears 103.9°pgc. The variation is 10°W. What is the gyro error?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 2.0°E

Calculate the Moon's declination for the observation time. Determine the true amplitude using sin(Amp) = sin(Dec) / cos(Lat). Convert the true amplitude to a true bearing. Since the variation is 10°W, apply this to the gyro bearing to find the gyro error. The difference between true and gyro bearings is 2.0°E.

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