How far from A should the point P be chosed so as to maximize the angle theta?
I've been looking at this for awhile and don't know how to begin. Any pointers would be greatly appreciated. Thanks.
use with the length of the hypotenuse defined by ; the length of the hypotenuse defined by ; and the hypotenuse of the triangle spanning the two apexes = . The angle will be maximized when is minimized.
So simply differentiate the function with respect to to find the minimum.