On 3 January your 1759 zone time DR position is LONG 60°53.2' W. At that time you observe Polaris with a sextant altitude (hs) of 22°55.8'. The chronometer time of the sight is 09h 57m 10s, and the chronometer error is 02m 26s slow. The index error is 2.9' off the arc, and the height of eye is 52.5 feet. What is your latitude by Polaris?

Question

On 3 January your 1759 zone time DR position is LONG 60&deg;53.2' W. At that time you observe Polaris with a sextant altitude (hs) of 22&deg;55.8'. The chronometer time of the sight is 09h 57m 10s, and the chronometer error is 02m 26s slow. The index error is 2.9' off the arc, and the height of eye is 52.5 feet. What is your latitude by Polaris?

Accepted Answer

Option C: 22&deg;03.6'N. Correct the sextant altitude for index error (+2.9'), dip (-7.1'), and refraction (-2.3') to find Ho. Calculate the LHA of Aries using the corrected chronometer time and longitude. Apply the Polaris correction (a0, a1, a2) from the Nautical Almanac to the Ho to determine the latitude of 22°03.6'N.