Navigation Problems USCG Question #101 (Set 3)

On 24 September your 1841 zone time DR position is 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 feet (15.9 meters). What is your latitude by Polaris?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 25°37.6'N

Apply index error and height of eye correction to the sextant altitude to obtain Ho. Use the Nautical Almanac Polaris tables, applying the corrections for LHA Aries and latitude. The resulting calculation yields a latitude of 25°37.6'N, consistent with standard celestial navigation procedures for Polaris observations.

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