On 13 November at 0438 ZT, morning stars were observed and the vessel's position was determined to be LAT 22°14.0'S, LONG 79°23.0'E. Your vessel is steaming at 13.0 knots on a course of 242°T. A sextant observation of the Sun's lower limb is made at 0822 ZT. The chronometer reads 03h 20m 16s, and the sextant altitude (hs) is 45°49.7'. The index error is 1.0' on the arc, and the chronometer error is 01m 47s slow. Your height of eye on the bridge is 61.0 feet (18.6 meters). What is the azimuth (Zn) of this sight using the assumed position?
Official USCG Answer & Rule Citation
Correct Answer: Option A — 092.6°T
Calculate the Sun's GHA and Declination for the observation time. Using the assumed position (AP) near the DR, compute the LHA. Apply the cosine-haversine formula or the ABC tables to determine the azimuth (Zn). The resulting azimuth is 092.6°T, following standard celestial navigation reduction procedures.
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