On 28 July your 0800 zone time fix gives you a position of LAT 25°16.0'N, LONG 71°19.0'W. Your vessel is on course 026°T, and your speed is 17.5 knots. Local apparent noon (LAN) occurs at 1149 zone time, at which time a meridian altitude of the Sun's lower limb is observed. The observed altitude (Ho) for this sight is 82°28.7'. What is the calculated latitude at LAN?
Official USCG Answer & Rule Citation
Correct Answer: Option C — 26°25.0'N
At LAN, the latitude is calculated using the formula: Lat = (90° - Ho) ± Declination. With the Sun's declination for 28 July and the observed Ho of 82°28.7', the calculation yields 26°25.0'N, accounting for the Sun's position relative to the observer's zenith.
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