On 6 March your 1854 zone time DR position is LAT 23°51.5' N, LONG 73°14.0' W. At that time you observe Polaris with a sextant altitude (hs) of 24°16.5'. The chronometer time of the sight is 11h 52m 40s, and the chronometer error is 01m 56s slow. The index error is 5.0' on the arc, and the height of eye is 43.5 feet (13.3 meters.) What is your latitude by Polaris?
Official USCG Answer & Rule Citation
Correct Answer: Option B — 23°36.3'N
Correct the sextant altitude for index error, dip, and refraction to find Ho. Determine the LHA of Aries using the corrected GMT. Apply the Polaris correction factors (a0, a1, a2) from the Nautical Almanac to the Ho to calculate the observer's latitude, resulting in 23°36.3'N.
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