Navigation Problems USCG Question #270 (Set 8)

On 13 October at 1847 ZT, your vessel's DR position is LAT 42°17.4' N, LONG 138°46.2' W. At approximately this time, you obtain a sextant altitude (hs) of Polaris reading 42°16.8', with an index error of 3.2' on the arc. Your chronometer reads 03h 45m 20s and is 1m 32s slow. What is your latitude by Polaris, given a height of eye of 44 feet?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 42°09.1'N

Correct the sextant altitude for index error (-3.2') and dip (44 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 42°09.1'N.

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