On 25 August your 0300 zone time DR position is LAT 21°28.0' N, LONG 167°48.0' E. You are on course 248°T at a speed of 12 knots. You observed 3 celestial bodies. Determine the latitude and longitude of your 0600 running fix.

Correct Answer: Option C — LAT 20°57.1'N, LONG 167°01.0'E

Determining a three-hour running fix from 0300 to 0600 ZT involves applying the vessel's run vector (248°T at 12 knots) to the initial intercept lines. Geometric intersection of the advanced lines establishes the true position of LAT 20°57.1'N, LONG 167°01.0'E per standard celestial navigation standards.