A satellite orbiting the earth uses radar to communicate with two control stations on the earth's surface. The satellite is in a geostationary orbit. That means that the satellite is always on the line through the center of the earth and control station 2. From the perspective of Station 1, the satellite is on the horizon and from the perspective of station 2, the satellite is always directly overhead as in the following diagram. The angle between the lines from the satellite to the stations is 8.7∘.
Assuming the Earth is a sphere with radius 3963 miles, what is the distance that a signal would travel if it triangulates from station 1 to the satellite then back to Station 2? Round all answers to the nearest whole number.