Navigation Problems USCG Question #1512 (Set 45)

On 11 May in DR position LAT 28°13.7'N, LONG 168°36.3'E, you observe an amplitude of the Sun. The Sun's center is on the celestial horizon and bears 283°psc. The chronometer reads 07h 13m 19s and is 02m 56s slow. Variation in the area is 13°E. What is the deviation of the standard magnetic compass?

Official USCG Answer & Rule Citation

Correct Answer: Option B — 5.6°W

Calculate the Sun's declination and the observer's latitude to find the true amplitude using the formula sin(Amp) = sin(Dec) / cos(Lat). Compare the true amplitude to the compass amplitude (psc) to determine compass error. Applying variation (13 degrees E) to the compass error yields a deviation of 5.6 degrees West.

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