58. On 15 February at 0610 ZT, in DR position LAT 56°53.0'N, LONG 157°02.9'E, you observe Polaris at a sextant altitude (hs) of 56°10.4'. The index error is 2.5' on the arc, and the height of eye is 18 meters. What is the latitude?

The latitude is determined by reducing the sextant altitude of Polaris to its true altitude, applying index and dip corrections, accounting for refraction, and then using the Polaris tables to apply the appropriate latitude correction, resulting in a latitude of 5641.8'N.