On 15 July at 0447 ZT, your vessel's DR position is LAT 22°42' N, LONG 126°36' E. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 23°46.2' with an index error of 1.6' off the arc. Your chronometer reads 08h 48m 28s, and is 1m 16s fast. What is your latitude by Polaris, given a height of eye of 33 feet?

Question

On 15 July at 0447 ZT, your vessel's DR position is LAT 22&deg;42' N, LONG 126&deg;36' E. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 23&deg;46.2' with an index error of 1.6' off the arc. Your chronometer reads 08h 48m 28s, and is 1m 16s fast. What is your latitude by Polaris, given a height of eye of 33 feet?

Accepted Answer

Option D: 22&deg;54.1'N. Calculate LHA Aries using the corrected chronometer time and DR longitude. Correct the sextant altitude for index error, dip, and refraction. Apply the Polaris correction tables (a0, a1, a2) to the Ho to determine the latitude. The result is 22°54.1'N, following standard celestial reduction procedures.