Question

triangles unit test
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)

Explanation:

Step1: Determine the lengths of the sides of the right - triangle

The side from the shortstop to second base is \(a = 30\) ft. The side from second base to first base is \(b=90\) ft. The distance from the shortstop to first base is the hypotenuse \(c\) of a right - triangle.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 30\) and \(b = 90\) into the formula:

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Answer:

\(94.9\) ft