Question 241830
Solve the problem. 
The distance from home plate to dead center field in Sun Devil Stadium is 409 feet. 
A baseball diamond is a square with a distance from home plate to first base of 90 feet. 
How far is it from first base to dead center field?
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Draw the picture.
Let home plate be A, 1st base be B, dead center field be C.
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Let "a" be the distance from 1st base to dead center field
Using Law of cosines you get:
a^2 = 90^2 + 409^2 - 2(90)(409)cos(45)
a^2 = 123323.7988
a = 351.17 ft.
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Find the exact value of the expression. 
cos-1 (1)
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The angle whose cosine is 1 is 0 degrees
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Cheers,
Stan H.