On 22 July at 0720 ZT, in DR position LAT 20°38.2'N, LONG 87°16.0'W, you observe the Moon's lower limb. The sextant altitude (hs) is 38°32.6, and the chronometer reads 01h 18m 14s. The chronometer is 01m 28s slow. The index error is 3.1' off the arc, and the height of eye is 68 feet. What is the azimuth (Zn) and intercept (a) of this sight from the assumed position?
Official USCG Answer & Rule Citation
Correct Answer: Option D — Zn 248.6°, a 5.0' T
Calculate Ho by applying index error (+3.1') and dip (68 ft) to the sextant altitude. Determine GHA and Dec for the Moon using the Nautical Almanac. Compute the intercept (a) and azimuth (Zn) by comparing the calculated altitude (Hc) to Ho at the assumed position, resulting in 248.6° and 5.0' T.
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