On 22 May your 0437 DR position is LAT 25°18.5' N, LONG 51°18.0' W. You observe an unidentified star bearing 142°T at an observed altitude (Ho) of 23°10.2'. The chronometer reads 07h 40m 40s, and is 03m 24s fast. What star did you observe?
Official USCG Answer & Rule Citation
Correct Answer: Option C — Fomalhaut
Determine the GHA of Aries and the star's SHA from the Nautical Almanac. Calculate the LHA by applying the DR longitude. Using the observed altitude and the calculated LHA, compare the resulting declination and azimuth against the star list. Fomalhaut is the only star matching these specific celestial coordinates.
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