Answer
$\approx 84.9$ feet
Work Step by Step
(a) See image below.
(b) To find the distance from home plate to second base, we divide the square in two pieces to form a right triangle.
We know that for a right triangle the Pythagorean Theorem states:
$leg_1^2+leg_2^2=hypotenuse^2$
$a^2+b^2=c^2$
Our legs are 60 ft long, so we have:
$60^2+60^2=c^2$
$3600+3600=c^2$
$7200=c^2$
$c=\sqrt{7200}$
$c\approx 84.9$ feet
![](https://gradesaver.s3.amazonaws.com/uploads/solution/c25b4bd5-6bac-4e62-9e58-3d705a2f4477/steps_image/small_1515568072.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T022348Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=4722c241373b16507d1acaf91f7439cf890e45d3c3ab9c9fbded924768072516)