The great circle distance from LAT 24°25.3'N, LONG 83°02.6'W to LAT 35°57.2'N, LONG 5°45.7'W is 3966.5 miles. Determine the latitude of the vertex.

Correct Answer: Option C — 38°09.4'N

Using the spherical trigonometry formulas for great circle navigation, the vertex latitude is found by the formula cos(Lat_v) = cos(Lat_1) * sin(Initial Course). Solving for the vertex using the provided coordinates and distance yields a latitude of 38°09.4'N, consistent with standard celestial and great circle navigation principles.