Navigation Problems USCG Question #299 (Set 8)

On 22 February your 0800 zone time position is LAT 24°16'S, LONG 95°37'E. Your vessel is on course 126°T at a speed of 14 knots. An observation of the Sun's lower limb is made at 0945 zone time. The chronometer reads 03h 47m 22s, and the chronometer error is 02m 37s fast. The observed altitude (Ho) is 57°02.1'. LAN occurs at 1148 zone time, and a meridian altitude of the Sun's lower limb is made. The observed meridian altitude (Ho) is 75°22.3'. Determine the vessel's 1200 zone time position.

Official USCG Answer & Rule Citation

Correct Answer: Option A — LAT 24°52.2'S, LONG 96°24.0'E

Following Bowditch procedures for meridian altitude, the latitude is calculated using the observed altitude and declination. Advancing the 0800 fix to 1200 using the vessel's course and speed, combined with the longitude derived from the sight, confirms the position as 24°52.2'S, 96°24.0'E.

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