At 1300 ZT on 9 May your DR position is LAT 24°00'N, LONG 83°26'W. Determine the computed altitude (Hc) of the Sun for the assumed position nearest to the above given latitude and longitude, given a chronometer time of 07h 00m 00s.
Official USCG Answer & Rule Citation
Correct Answer: Option D — Hc 68°26.6'
Calculate the Sun's GHA and Declination for the specific GMT. Determine the LHA by applying the longitude to the GHA. Use the law of cosines for spherical trigonometry: sin(Hc) = sin(Lat)sin(Dec) + cos(Lat)cos(Dec)cos(LHA). Solving this yields the computed altitude of 68°26.6' for the assumed position.
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