You are on a great circle track departing from LAT 25°50.0'N, LONG 77°00.0'W and your initial course is 061.7°T. The position of the vertex is LAT 37°35.6'N, LONG 25°57.8'W. What is the distance along the great circle track between the point of departure and the vertex?

Correct Answer: Option A — 2664.9 miles

Using spherical trigonometry for great circle sailing, the distance from the departure point to the vertex is calculated using the formula cos(dist) = cos(lat1) * cos(lat_v) * cos(dlong). Given the vertex latitude and departure coordinates, the distance along the track is determined to be 2664.9 nautical miles.