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.
To determine how far the shortstop needs to throw the ball, we can use the Pythagorean theorem.
From the information given in the image, we know that the measurement from the right vertex (first base) to the stick figure (shortstop) is 30 feet. We also know that the outer right side of the square (third base line) is labeled 90 feet.
Using the Pythagorean theorem, we can find the length of the diagonal (throw distance) as follows:
throw distance^2 = 30^2 + 90^2
throw distance^2 = 900 + 8100
throw distance^2 = 9000
throw distance ≈ √9000
throw distance ≈ 94.9 feet
Therefore, the shortstop needs to throw the ball approximately 94.9 feet to reach first base.
Use the image to answer the question.
A graph shows quadrant 1 with the x-axis and y-axis ranging from 0 to positive 9. Data points marked are at left parenthesis 3 comma 2 right parenthesis, and left parenthesis 7 comma 8 right parenthesis. A straight line joins the two points forming a positive slope.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
(1 point)
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