Jordan K. answered 08/27/15
Tutor
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(79)
Nationally Certified Math Teacher (grades 6 through 12)
Hi Greg,
The straight line of travel for the baseball would be the a hypotenuse of a right triangle with the fence being its vertical height from the ground and its base being the horizontal distance from the batter to the fence.
We can use the Pythagorean theorem to calculate the length of the hypotenuse (straight line of travel from the batter to the top of the fence):
x2 = 202 + 2952
x2 = 400 + 87025
x2 = 87425
x = √87425
x = 295.6771888
Therefore, shortest distance to clear the fence - we round up our answer to the nearest foot (296 feet).
Thanks for submitting this problem and glad to help.
God bless, Jordan.