To find the distance the shortstop needs to throw the ball, we can use Pythagoras' theorem since we have a right triangle. The hypotenuse of the triangle represents the distance she needs to throw the ball.
The length of the right side of the square is given as 90 feet, and the measurement from the right vertex to the stick figure is given as 30 feet. Using these values, we can find the length of the hypotenuse of the triangle.
Using the Pythagorean theorem, we have:
(Length of hypotenuse)^2 = (Length of right side)^2 + (Measurement from the right vertex to the stick figure)^2
Let's substitute the given values:
(Length of hypotenuse)^2 = 90^2 + 30^2
Simplifying:
(Length of hypotenuse)^2 = 8100 + 900
(Length of hypotenuse)^2 = 9000
Taking the square root of both sides to solve for the length of the hypotenuse:
Length of hypotenuse = √9000
Rounded to the nearest tenth, the length of the hypotenuse, or the distance the shortstop needs to throw the ball, is approximately 94.9 feet.
Use the image to answer the question.
An illustration shows a square with smaller squares representing baseball plates on the top left, top right, and bottom right vertices. The bottom left vertex has a pentagon that represents home plate. A stick figure is located on the top of the square and the measurement from the right vertex to the stick figure is labeled 30 feet. A dashed diagonal line runs from the stick figure to the inner right side of the square, forming the hypotenuse of a triangle. The top right side of the square forms the right angle of the triangle and is marked with a right angle symbol. The outer right side of the square is labeled 90 feet.
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.
(1 point)
feet
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