A baseball diamond is a square that is 90′ on each side. If a player throws the ball from 2nd base to home how far will the ball travel?

A baseball diamond is a square that is 90′ on each side. If a player throws the ball from 2nd base to home how far will the ball travel?

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So we are given that each side of a square is 90 feet.
By finding how far the ball will travel we are basically finding the distance from 2nd base to home
Well let’s picture a baseball field and we find out that they are diagonally across from one another.
Well let’s draw a diagonal connecting home to 2nd base.
Since the field is a square it has a right angle at 1st base
We now know 2 legs in a right triangle that calls for the
(You could also do 45-45-90 special right triangle which would give you the answer very quickly)
So we have ##90^2 + 90^2 = c^2##
Which is ##16200 = c^2##
We are finding ##c## so ##sqrt(16200) = c##
We can simplify this to ##sqrt(162*100)## which is ##10sqrt(162)##
Then we can simplify this to ##10sqrt(81*2)## which is ##10*9sqrt(2)##
Finally we multiply the values outside of the root to get our final answer ##90sqrt2##
And we are done.

The post A baseball diamond is a square that is 90′ on each side. If a player throws the ball from 2nd base to home how far will the ball travel? appeared first on homeworkcrew.

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