A communications satellite is directly above the extension of a line between receiving towers A and B. It is determined from radio signals that the...

A communications satellite is directly above the extension of a line between receiving towers A and B. It is determined from radio signals that the angle of elevation from tower A is 88.9 degrees and the angle of elevation from tower B is 86.8 degrees. If A and B are 674 km​ apart, how far is the satellite from​ A?

​(Ignore the curvature of the​ earth.)