In baseball, the length of the path between each pair of consecutive bases is 90 feet. The paths form right angles. How far does the ball need to travel if it is thrown from home plate directly to second base?

A.
90 feet
B.
127.3 feet
C.
135.7 feet
D.
180 feet

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musiclover10045 musiclover10045 · Answer 1 · 2017-06-23T20:38:31+02:00

to find the diagonal of a square ( which is the shape described)

Diagonal = square root (s^2x2)

so square root of (90^2 x 2)

= square root of (16200) = 127.28 round to 127.3

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ayoushivt ayoushivt · Answer 2 · 2022-07-23T08:29:46+02:00

The ball needs to travel 127.3 feet to reach the second base, the correct option is B.

A square is a polygon with four sides, all the sides of a square are equal and all the angles are equal to 90 degree.

The baseball field is in the shape of square as the length between each pair of consecutive base is same.

The length of each side is 90 feet.

The ball is thrown diagonally and so the length of the diagonal needs to be determined.

As all the angles are 90 degree, the length of the diagonal will be the hypotenuse.

So by Pythagoras theorem

Length of the diagonal

[tex]\rm =\sqrt { 90^2 +90^2}\\\\=\sqrt {8100 +8100}\\\\=\sqrt{16200}[/tex]

Length of Diagonal = 127.3 feet

Therefore, the ball needs to travel 127.3 feet to reach the second base, the correct option is B.

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