Question

a baseball \diamond\ is actually a square with sides of 90 feet. if a runner tries to steal second base, how far must the catcher, at home plate, throw to get the runner \out\? (distance across the diagonal) 90 feet 127.3 feet 180 feet 13.4 feet

Explanation:

Step1: Apply Pythagorean theorem

For a square with side length $s$, diagonal $d = \sqrt{s^2 + s^2}$

Step2: Substitute $s=90$ feet

$d = \sqrt{90^2 + 90^2} = \sqrt{8100 + 8100} = \sqrt{16200}$

Step3: Calculate the square root

$\sqrt{16200} = 90\sqrt{2} \approx 127.3$

Answer:

B. 127.3 feet