Question

Use the image to answer the question.



A shortstop is standing in the base path between second and third base when she fields the ball. She is 25 feet from second base and needs to make the throw to first base. Assuming the field is square, how far does she need to throw the ball? Round your answer to the nearest tenth. Show your work.

(1 point)
feet

Answer 1

In a baseball diamond each base is 90 ft apart. Place second at (90,90), third at (0,90) and first at (90,0). The shortstop is 25 ft from second toward third, at (65,90). Distance to first:

d = sqrt((90−65)^2 + (0−90)^2) = sqrt(25^2 + 90^2) = sqrt(8725) ≈ 93.4 ft.

Answer: 93.4 feet.