On 7 November your 0830 zone time fix gives you a position of LAT 27°36.0'N, LONG 163°19.0'W. Your vessel is on course 289°T, and your speed is 19.0 knots. Local apparent noon (LAN) occurs at 1138 zone time, at which time a meridian altitude of the Sun's lower limb is observed. The observed altitude (Ho) for this sight is 45°35.0'. What is the calculated latitude at LAN?

Question

Accepted Answer

Option D: 27°57.2'N. Advance the 0830 DR position to the time of LAN (1138) 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, 27°57.2'N, following standard celestial navigation principles.