If A is the distance from the center of the dilation to a vertex of the pre-image, and B is the distance from the center of the dilation to the corresponding vertex on the image, then B/A is the scale factor of the dilation.
The picture shows how this would look as a triangle. In this case, we would use tan. x is the opposite side, and 80 is adjacent. tan(85.7) = x/80 13.299.. = x/80 x = 1,064 feet