A short stop is is standing in the base path between 2nd and 3rd base when she fields the ball. She is 30 ft from the second base and she needs to make a throw to first base. Assuming the field is sqaure, how far does she need to throw the ball?
To find the distance the short stop needs to throw the ball, we need to calculate the diagonal distance of the square field. Since the square field has all sides equal, we know that the distance between second base and third base is equal to the distance between second base and first base.
Using the Pythagorean theorem, we can find the diagonal distance:
diagonal distance = √(30^2 + 30^2)
diagonal distance = √(900 + 900)
diagonal distance = √1800
diagonal distance ≈ 42.43 ft
Therefore, the short stop needs to throw the ball approximately 42.43 ft to reach first base.