in a competition to see who could throw a football the furthest (if wind resistance can be ignored), one should release the ball at an angle of

45 degrees.

At this angle, the ball will have the best balance between horizontal distance and vertical height. If the ball is released at a lower angle, it will not go as far horizontally, and if it is released at a higher angle, it will not travel as far vertically. So, 45 degrees is the optimal angle for maximizing distance.