Quandaries
and Queries 

Who is asking: Student Question: The reason is because the way the coding of routes for the program works is, you control the course of your track, but everything else (including other tracks) is placed relative to your track, and I need to figure out the horizontal displacement of the track at the end of the curve from the zaxis (zaxis is forwards/backwards in this case, it is a 3dimensional environment.) 

Hi, I drew a diagram of what I understand to be the problem. The problem is to find the distance QR where the line segment QR is perpendicular to the line PR.I let O be the center of the circle that defines the arc and I drew QS perpendicular to OP. The relationship between theta, the angle QOP and a, the arclength PQ is
Here theta is measured in radians. From the diagram
The unknown distance QR is then
With the numbers you supplied, OP = QO = 1500 meters and the arclength PQ 25 meters I get
Penny 

