Question

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3

1

H

The baseball diamond is really a square. The distance between each of the bases is 90 feet.

How far does the catcher have to throw the ball to get from home plate to second base? Round your answer to the nearest foot

A 90 feet

B 100 feet

C 127 feet

D 156 feet

E 180 feet

Answer 1

B 100 feet

To calculate the distance from home plate to second base, you can use the Pythagorean theorem since it forms a right triangle.

The distance from home plate to first base is 90 feet, and the distance from first base to second base is also 90 feet. So, you can consider the two distances as the legs of a right triangle.

Using the formula a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse:

90^2 + 90^2 = c^2
8100 + 8100 = c^2
16200 = c^2
c ≈ 127 feet

Therefore, the answer is C 127 feet.