On 17 May at 0501 zone time, morning stars were observed, and the vessel's position was determined to be LAT 22°16.0'S, LONG 103°46.0'W. Your vessel is steaming at 24.0 knots on a course of 301°T. A sextant observation of the Sun's lower limb is made at 0845 zone time. The chronometer reads 03h 43m 32s, and the sextant altitude is 28°24.7'. The index error is 1.5' off the arc, and the chronometer error is 02m 02s slow. Your height of eye on the bridge is 85.5 feet. What is the azimuth (Zn) of this sight using the assumed position?
Official USCG Answer & Rule Citation
Correct Answer: Option B — 052.5°T
Calculate the Greenwich Mean Time (GMT) by applying the chronometer error to the reading. Determine the Sun's GHA and Declination from the Nautical Almanac. Using the assumed position, apply the intercept method and solve the spherical triangle using the cosine-haversine formula to derive the azimuth (Zn) of 052.5°T.
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