On 22 August your 1852 zone time DR position is LONG 155°54.0' E. At that time you observe Polaris with a sextant altitude (hs) of 27°36.9'. The chronometer time of the sight is 08h 54m 06s, and the chronometer error is 02m 20s fast. The index error is 3.6' off the arc, and the height of eye is 61.5 feet. What is your latitude by Polaris?

Correct Answer: Option A — 28°05.9'N

Applying the standard Polaris correction tables (a0, a1, a2) to the corrected sextant altitude accounts for the star's slight offset from the celestial pole. By adjusting for the LHA of Aries at the time of observation, the calculated latitude is 28°05.9'N, consistent with established celestial navigation protocols.