Posted by Danielle on Friday, August 31, 2012 at 11:26pm.
A baseball diamond is a square with sides 22.4m. The pitcher's mound is 16.8m from home plate on the line joining home plate and second base. How far is the pitcher's mound from first base
?

Math  Charrice, Friday, August 31, 2012 at 11:42pm
c^2 = a^2 + b^2
22.1^2= 16.8^2 + b^2
solve for 'b' using pythag. theorem

Math  Danielle, Saturday, September 1, 2012 at 12:50am
Thank you Charrice

Math  Steve, Saturday, September 1, 2012 at 6:02am
I think there's a slight error here. The solution given works only if the angle at the pitcher's mound is 90 degrees. However, the center of the square is 22.4/√2 = 15.8m from home plate.
If you make the firstbase line the xaxis, with home plate at (0,0), then the pitcher's mound is at (16.8/√2,16.8/√2) = (11.88,11.88)
The distance from, (11.88,11.88) to (22.4,0) is
√(22.411.88)^2 + 11.88^2 = 15.87m
The solution above gives 14.36m
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