Navigation Problems USCG Question #205 (Set 6)

On 28 July your 0800 zone time (ZT) 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 1150 ZT, 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 latitude at 1200 ZT?

Official USCG Answer & Rule Citation

Correct Answer: Option C — 26°27.6'N

Calculate the Sun's declination at LAN. Use the meridian altitude formula: Latitude = (90° - Ho) ± Declination. Adjust the DR position for the 10-minute run from 1150 to 1200 ZT at 17.5 knots on course 026°T to determine the final latitude of 26°27.6'N.

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