Navigation Problems USCG Question #276 (Set 8)

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?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 22°03.6'N

Correct the sextant altitude for index error (+2.9') and dip (52.5 ft) to find Ho. Determine LHA Aries using the chronometer time and DR longitude. Apply the Polaris correction factors (a0, a1, a2) from the Nautical Almanac to the Ho to derive the final latitude of 22°03.6'N.

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