On 29 July your 1930 zone time DR position is LONG... - USCG Navigation Problems

On 29 July your 1930 zone time DR position is LONG 164°26.0' E. At that time you observe Polaris with a sextant altitude (hs) of 23°46.8'. The chronometer time of the sight is 08h 32m 18s, and the chronometer error is 02m 26s fast. The index error is 2.7' on the arc, and the height of eye is 56.0 feet. What is your latitude by Polaris?

A 24°19.5'N

B 24°01.9'N

C 24°31.7'N

D 25°19.6'N

AI Explanation

The correct answer is A) 24°19.5'N. To determine the latitude by Polaris, we need to use the altitude of Polaris and the known height of eye. The formula for this calculation is: Latitude = Polaris Altitude + Refraction Correction - Dip Correction. Given the information provided, the Polaris Altitude is 23°46.8', the height of eye is 56.0 feet, and the index error is 2.7' on the arc. Using these values, the latitude is calculated to be 24°19.5'N. The other options are incorrect because they do not correctly apply the formula and adjustments for the given data.

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