On 22 May at 0440 ZT, your vessel's DR position is LAT 23°24' N, LONG 110°24' W. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 23°40.9' with an index error of 1.6' on the arc. Your chronometer reads 11h 42m 14s, and is 2m 36s fast. What is your latitude by Polaris, given a height of eye of 24 feet?

Question

On 22 May at 0440 ZT, your vessel's DR position is LAT 23&deg;24' N, LONG 110&deg;24' W. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 23&deg;40.9' with an index error of 1.6' on the arc. Your chronometer reads 11h 42m 14s, and is 2m 36s fast. What is your latitude by Polaris, given a height of eye of 24 feet?

Accepted Answer

Option C: 23&deg;31.2'N. Applying the Polaris correction table from the Nautical Almanac, adjust the observed altitude for index error, dip, and refraction. Using the LHA of Aries derived from the corrected chronometer time, apply the corrections a0, a1, and a2 to the altitude to determine the latitude, which aligns with 23°31.2'N.