#### Answer

The catcher is throwing the ball for $127.3$ ft from home plate to second plate.

#### Work Step by Step

1. Use the Pythagorean Theorem to solve for the length from second plate to home plate
Let $L =$ the length from the two plates
$L = \sqrt (90^{2} + 90^{2})$
$L = 127.27922...$ ft
$L \approx 127.3$ ft