A softball diamond is a square with each side measuring 60 feet. Suppose a player is running from second base to third base at a rate of 22 feet per second. At what rate is the distance between the runner and home plate changing when the runner is halfway to third base?
A) 9.84 feet per second
B) 4.84 feet per second
C) 6.84 feet per second
D) 12.84 feet per second
E) 10 feet per second

Question

Quizplus · Accepted Answer

When the runner is halfway to third base, they are 30 feet from second base and 30 feet from third base. Using the Pythagorean theorem, the distance from the runner to home plate is changing at a rate of approximately 9.84 feet per second.

A Softball Diamond Is a Square with Each Side Measuring