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).

Question

Accepted Answer

Option B: 37°09.5'N. Great circle intermediate latitudes are computed using Napier's Rules of Circular Parts for right spherical triangles or the haversine formula. Using the vertex position and the given difference of longitude (10°W) along the great circle track, the resulting latitude at point X is calculated as 37°09.5'N.