On 28 October at 1754 ZT, your vessel's DR position is LAT 28°30' N, LONG 63°24' W. At this time, you obtain a sextant altitude (hs) of Polaris reading 28°42.6', with an index error of 2.4' on the arc. Your chronometer reads 09h 50m 00s, and is 4m 14s slow. What is your latitude by Polaris, given a height of eye of 28 feet (8.5 meters)?

Question

On 28 October at 1754 ZT, your vessel's DR position is LAT 28&deg;30' N, LONG 63&deg;24' W. At this time, you obtain a sextant altitude (hs) of Polaris reading 28&deg;42.6', with an index error of 2.4' on the arc. Your chronometer reads 09h 50m 00s, and is 4m 14s slow. What is your latitude by Polaris, given a height of eye of 28 feet (8.5 meters)?

Accepted Answer

Option C: 28&deg;34.9'N. Apply index error, dip, and refraction to the sextant altitude. Calculate the LHA of Aries using the corrected chronometer time and DR longitude. Utilize the Polaris correction table (a0, a1, a2) from the Nautical Almanac to adjust the altitude, resulting in the calculated latitude of 28°34.9'N.