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.%0D%0A%0D%0A(1 point)

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.%0D%0A%0D%0A(1 point)

GPT 3.5 · Answer

To find the distance the shortstop needs to throw the ball, we can use the Pythagorean theorem since the field is square.

Using the theorem, the distance she needs to throw the ball is given by the square root of the sum of the squares of the distances between the bases.

The distance between second base and first base is 90 feet (assuming we are on a regulation size baseball field).

Using the theorem, we calculate the distance she needs to throw the ball as follows:

Distance = √(25^2 + 90^2) = √(625 + 8100) = √8725 = 93.4 feet.

Therefore, she needs to throw the ball approximately 93.4 feet to first base.