On 24 September your 1841 zone time DR position is LAT 25°15.0' N, LONG 129°34.5' E. At that time you observe Polaris with a sextant altitude (hs) of 25°20.8'. The chronometer time of the sight is 09h 38m 12s, and the chronometer error is 03m 12s slow. The index error is 4.3' off the arc, and the height of eye is 52.0 feet. What is your latitude by Polaris?

Question

On 24 September your 1841 zone time DR position is LAT 25&deg;15.0' N, LONG 129&deg;34.5' E. At that time you observe Polaris with a sextant altitude (hs) of 25&deg;20.8'. The chronometer time of the sight is 09h 38m 12s, and the chronometer error is 03m 12s slow. The index error is 4.3' off the arc, and the height of eye is 52.0 feet. What is your latitude by Polaris?

Accepted Answer

Option C: 25&deg;37.6'N. Calculate the LHA Aries using the corrected chronometer time and the DR longitude. Apply the Polaris correction tables (a0, a1, a2) to the Ho. The resulting latitude of 25°37.6'N is derived by adjusting the observed altitude for the star's position relative to the celestial pole.