In football, the path that a defender takes in an attempt to intercept the ball carrier is called the angle of pursuit. The points where the ball carrier and the defenders start at the same yard line and the point on the
field where one of the defenders intercepts the ball carrier form a right triangle, as shown in the diagram.
Two defenders and the ball carrier start at the 40-yard line. Defender 1 starts 10 yards away from the ball
carrier to the ball carrier’s left. Defender 2 starts 30 yards away from the ball carrier to the ball carrier’s
right. Defender 1 runs 1.1 times as fast as the ball carrier. Defender 2 runs 1.25 times as fast as the ball
carrier.
Will either defender be able to reach the ball carrier before he runs the 40 yards he needs to reach the end and score a touch down?