On 24 May your vessel's 1000 ZT position is LAT 25°36.0'N, LONG 118°39.5'W, when you take an azimuth of the Sun. Determine the gyro error using the azimuth information. Chronometer time: 06h 21m 48s Chronometer error: fast 01m 36s Gyro bearing: 099.4° Variation: 11.1°E

Correct Answer: Option C — 1.3°W

Find GMT from chronometer time and error, and extract Greenwich Hour Angle and declination from the Nautical Almanac. Solve the celestial navigation triangle per Bowditch methods to determine true sun bearing. Apply local variation (11.1°E) and observed gyro bearing to isolate the resulting gyro error of 1.3°W.