On 10 June your 2010 zone time DR position is LAT 41°10.0' N, LONG 61°15.0' W. At that time, you observe Polaris with a sextant altitude (hs) of 40°35.8'. The chronometer time of the sight is 00h 08m 18s, and the chronometer error is 01m 54s slow. The index error is 2.0' on the arc, and the height of eye is 40 feet. What is your latitude by Polaris?

Question

On 10 June your 2010 zone time DR position is LAT 41&deg;10.0' N, LONG 61&deg;15.0' W. At that time, you observe Polaris with a sextant altitude (hs) of 40&deg;35.8'. The chronometer time of the sight is 00h 08m 18s, and the chronometer error is 01m 54s slow. The index error is 2.0' on the arc, and the height of eye is 40 feet. What is your latitude by Polaris?

Accepted Answer

Option B: 41&deg;15.0'N. Apply the Polaris correction table from the Nautical Almanac. With a corrected altitude (Ho) of 40°28.3' and applying the azimuth-based corrections (a0, a1, a2) for the local hour angle of Aries, the resulting latitude aligns with the DR position, confirming 41°15.0'N as the calculated observer latitude.