A shortstop is standing in the base path between second and third base when she fields the ball. She is 30 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. each side is 90 ft
To solve this problem, we can use the Pythagorean theorem. Since the field is square and each side is 90 feet, the diagonal of the square represents the distance the shortstop needs to throw the ball to first base.
Using the Pythagorean theorem, we can calculate the diagonal:
Diagonal² = Side A² + Side B²
Diagonal² = 90² + 90²
Diagonal² = 8100 + 8100
Diagonal² = 16200
Taking the square root of both sides, we get:
Diagonal = sqrt(16200) ≈ 127.3
Therefore, the shortstop needs to throw the ball approximately 127.3 feet to reach first base.