On 29 June your 0800 zone time fix gives you a position of LAT 26°16.0'S, LONG 61°04.0'E. Your vessel is steaming a course of 079°T at a speed of 15.5 knots. An observation of the Sun's upper limb is made at 0905 zone time, and the observed altitude (Ho) is 25°20.1. The chronometer reads 05h 08m 12s, and the chronometer error is 02m 27s fast. Local apparent noon occurs at 1154 zone time, and a meridian altitude of the Sun's lower limb is made. The observed altitude (Ho) for this sight is 40°44.2'. Determine the vessel's 1200 zone time position.
Official USCG Answer & Rule Citation
Correct Answer: Option D — LAT 26°02.0'S, LONG 62°05.0'E
Advance the 0800 fix to 1200 using the vessel's course and speed. At LAN, calculate the declination and apply the meridian altitude formula (Lat = 90 - Ho + Dec) to determine the latitude. The resulting 1200 position is 26°02.0'S, 62°05.0'E, accounting for the run between the two observations.
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