Navigation Problems USCG Question #275 (Set 8)

On 18 November your 1750 zone time DR position is LONG 110°16.0' W. At that time you observe Polaris with a sextant altitude (hs) of 21°29.8'. The chronometer time of the sight is 00h 52m 43s, and the chronometer error is 02m 18s fast. The index error is 3.2' on the arc, and the height of eye is 49.5 feet. What is your latitude by Polaris?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 21°03.4'N

Correct the sextant altitude for index error (-3.2') and dip (49.5 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 21°03.4'N.

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