Navigation Problems USCG Question #312 (Set 9)

On 8 August at 0545 ZT, morning stars were observed, and the vessel's position was determined to be LAT 26°16.0' S, LONG 94°16.0'E. Your vessel is steaming at 20.0 knots on a course of 346°T. A sextant observation of the Sun's lower limb is made at 0905 ZT. The chronometer reads 03h 02m 52s, and the sextant altitude (hs) is 38°07.5'. The index error is 5.2' off the arc, and the chronometer error is 2m 17s slow. Your height of eye on the bridge is 72 feet (22.0 meters). What is the observed altitude (Ho) and azimuth (Zn) of this sight using the assumed position?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 38°19.4', 048.4°T

Apply index error (off = subtract), dip correction for 22m height of eye, and altitude correction for the Sun's lower limb. Using the Nautical Almanac and Sight Reduction Tables (Pub. 229), calculate the Local Hour Angle and Declination to derive the computed altitude and azimuth, yielding 38°19.4' and 048.4°T.

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