Navigation Problems USCG Question #56 (Set 2)

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 A — Hc 68°26.6'

Using the Nautical Almanac, determine GHA and Declination for the Sun at 07h 01m 46s UTC. Apply the assumed position (24°N, 83°W) to the intercept formula. The computed altitude (Hc) is derived by solving the spherical triangle using the law of cosines for sides, resulting in 68°26.6'.

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