In the "Handbook of Model Rocketry" By H. Stine there is mention of a 3 station tracking method to determine the altitude of your rocket. It makes use of only the measured angle of the rocket at peak altitude (with respect to the ground) and a baseline that is a specific length that has an observer at each end and one observer exactly in the middle. In the appendix there are tables that you plug your measured angles into and, like magic, you get the altitude of the rocket. There is no attempt to show the derivation of these tables or even the method for deriving them.
My question is, has anyone done the math to derive the equations used to generate the tables in the book? I was trying to do this and got stuck at a point with 3 equations and 4 unknowns. I'm not sure what I'm missing but I'm sure there is some trigonometric identity or some characteristic of triangles that I am overlooking. If anyone can offer some guidance or a pointer to where the equations are it would be greatly appreciated.
Thank you, Michael Nycz