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October 24, 2014

Homework Help: Math (trigonometry)

Posted by Sammy on Sunday, December 2, 2012 at 4:43pm.

A baseball diamond is actually a square with each side approximately 27.4 m. The pitcher's mound is 18.4 m from home plate on the diagonal of the square - note that the pitcher's mound is NOT located at the centre of the diamond!

a) How far (to 3 decimal places) from the centre of the diamond is the pitcher's mound? Is it closer to home plate or second base?

I don't know if it's that my diagram is awry or what, but I can't seem to get the answer. I don't know how easily one might be able to understand this without the diagram I drew, but here's my math:

(I made x the distance from one corner of the square/diamond (H for home plate) to the centre of the diamond. The 45 was not exactly given, but I assumed it since it's a square...)

Find x:
cos45 = 27.4 m / x
x = 27.4 m / cos45
x = 38.7

38.7 m - 18.4 m = 20.3 m therefore, the pitcher's mound is 20.3 m from the centre of the diamond.

The answer should be 0.975 m, way off.

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