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In baseball, the lengths of the paths between consecutive bases are 90 feet, and the paths form right angles. The player on first base tries to steal second base. How far does the ball need to travel from home plate to second base to get the player out? Round your answer to the nearest tenth. The ball needs to travel about feet.

User Ecognium
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4.7k points

2 Answers

2 votes

Final answer:

The ball needs to travel about 127.3 feet from home plate to second base to get the player out.

Step-by-step explanation:

To find the distance the ball needs to travel from home plate to second base to get the player out, we need to use the Pythagorean Theorem.

The distance from home plate to first base is 90 feet, and the distance from first base to second base is also 90 feet. Since the paths form right angles, we can treat this as a right triangle.

By using the Pythagorean Theorem, we can find the hypotenuse of the triangle, which is the distance the ball needs to travel from home plate to second base.

Using the formula
c^2 = a^2 + b^2, where c is the hypotenuse and a and b are the two legs of the triangle, we can calculate the distance.


c^2 = 90^2 + 90^2


c^2 = 8100 + 8100


c^2 = 16200


c = \sqrt{16200

= 127.3 feet

User MonkeyWidget
by
5.6k points
1 vote

Answer:

the answer is actually 127.3 (rounded) 127.26 not rounded

Step-by-step explanation:

the person above me, their work is correct.

User Chanel
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5.3k points