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- Q135 - Navigation Problems: Oceans
442. The great circle distance from LAT 25° 50' N, LONG 77° 00' W to LAT 35° 56' N, LONG 06° 15' W is 3616 miles, and the initial course is 061.7° T. The position of the vertex is LAT 37° 34.9' N, LONG 25° 59.0' W. The difference of longitude from the vertex to a point (X) on the great circle track is 10° W. Determine the latitude which intersects the great circle at point (X).
The latitude of point X is determined using the great-circle relation, which states that the tangent of the latitude at a point is equal to the tangent of the vertex latitude multiplied by the cosine of the longitude difference. Applying this formula with the given vertex latitude and longitude difference yields a latitude of 37 09.5' N.
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