SOLUTION: A baseball diamond is a square 90ft on a side. The pitcher's mound is 60.5ft from home plate. How far it from the mound to first base?

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Question 449093: A baseball diamond is a square 90ft on a side. The pitcher's mound is 60.5ft from home plate. How far it from the mound to first base?
Found 2 solutions by rwm, richard1234:
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
You didn't say where the pitcher's mound is in relationship to the bases.
It is equidistant from first and third?
Is the line from homeplate to the pitcher's mound on the diagonal from home to second base?

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!


Suppose H = home plate, B = 1st base, P = pitcher's mound. We have the lengths HB = 90, HP = 60.5. Also, angle PHB = pi/4. From the law of cosines,



Replace all the values of HB, HP, etc. to find BP.