On 14 March your 1846 ZT DR position is LAT 21°57.6' N, LONG 132°16.2' W. At that time you observe Polaris with a sextant altitude (hs) of 22°16.8'. The chronometer time of the sight is 03h 45m 10s, and the chronometer error is 01m 32s slow. The index error is 3.2' off the arc, and the height of eye is 44.9 feet. What is your latitude by Polaris?
Official USCG Answer & Rule Citation
Correct Answer: Option B — 21°49.8'N
Apply index error and dip correction to the sextant altitude to find Ho. Calculate LHA Aries using GMT and longitude. Apply the Polaris correction (a0, a1, a2) from the Nautical Almanac to Ho. This process yields the corrected latitude of 21°49.8'N, consistent with standard celestial navigation procedures.
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