On 29 October in DR position LAT 41°12.0'N, LONG 50°18.9'W, you take an ex-meridian observation of the Sun's lower limb, near upper transit. The chronometer time of the sight is 03h 21m 12s, and the chronometer error is 01m 50s slow. The sextant altitude (hs) is 34°54.2'. The index error is 2.0' on the arc, and your height of eye is 45 feet. What is the latitude at meridian transit?

Question

On 29 October in DR position LAT 41&deg;12.0'N, LONG 50&deg;18.9'W, you take an ex-meridian observation of the Sun's lower limb, near upper transit. The chronometer time of the sight is 03h 21m 12s, and the chronometer error is 01m 50s slow. The sextant altitude (hs) is 34&deg;54.2'. The index error is 2.0' on the arc, and your height of eye is 45 feet. What is the latitude at meridian transit?

Accepted Answer

Option B: 41&deg;16.0'N. Convert chronometer time and error to GMT, enter the Nautical Almanac for solar coordinates, and apply standard lower limb altitude corrections. Compute the meridian altitude adjustment per Bowditch procedures to arrive at the correct latitude of 41°16.0'N.