Navigation Problems USCG Question #1076 (Set 32)

On 25 May your vessel's 1858 zone time position is LAT 21°05.0'N, LONG 143°27.0'E. At that time a sextant observation of the planet Venus was made. The sextant altitude is 12°53.4' and the chronometer reads 08h 59m 15s. The index error is 4.5' off the arc, and the chronometer error is 01m 25s fast. Your height of eye is determined to be 55.0 feet. What is the azimuth (Zn) of the sight using the assumed position?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 290.4°T

Applying sight reduction procedures from Bowditch, calculate GHA Aries, Greenwich Hour Angle of Venus, and apply Assumed Longitude to find LHA. Solve the navigational triangle using the haversine formula to determine the precise computed azimuth (Zn) of 290.4°T.

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