Navigation Problems USCG Question #254 (Set 7)

On 16 September your 0600 ZT fix gives you a position of LAT 29°47.2'N, LONG 65°28.4'W. Your vessel is on course 242°T and your speed is 13.5 knots. Local apparent noon (LAN) occurs at 1227 ZT, at which time a meridian altitude of the Sun's lower limb is observed. The observed altitude (Ho) for this sight is 63°25.3'. What is the calculated latitude at LAN?

Official USCG Answer & Rule Citation

Correct Answer: Option D — 29°04.7'N

Advance the 0600 fix to the time of LAN (1227) using the vessel's course and speed. Determine the Sun's declination at LAN. Apply the meridian altitude formula (Lat = 90 - Ho + Dec) to the corrected Ho to find the latitude at transit, 29°04.7'N, adhering to standard celestial navigation principles.

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