Saturday

December 20, 2014

December 20, 2014

Posted by **Kailey** on Monday, October 1, 2012 at 11:03am.

- Math -
**Steve**, Monday, October 1, 2012 at 11:16amletting home be H, pitcher be P, 2nd base be S, we have triangle HSF where

HP = 16.8

HF = SF = 22.4

we want d = PF

d^2 = 16.8^2 + 22.4^2 - 2(16.8)(22.4)cosH

Now, the diagonal from HS to 2nd base is 22.4√2 = 31.7m

In triangle HSF,

22.4^2 = 31.7^2 + 22.4^2 - 2(31.7)(22.4)cosH

cosH = .7076

Note that H is not quite 45°, since P is not quite at the midpoint of HS.

So, now we have

d^2 = 16.8^2 + 22.4^2 - 2(16.8)(22.4)(.7076)

d = 15.85m

**Answer this Question**

**Related Questions**

Math - A baseball diamond is a square with sides 22.4m. The pitcher's mound is ...

Trigonometry - A baseball diamond is a square with sides 27.4m. The pitchers ...

Trig - A baseball diamond is a square with sides 22.4m The pitchers mound is 16....

Math (trigonometry) - A baseball diamond is actually a square with each side ...

Math - A baseball diamond is a square with sides 22.4m. The pitchers mound is 16...

geometry - I asked my teacher for a hint and he said that the pitcher's mound is...

math - A softball diamond is a square with sides of 60 feet long. How far is ...

Math - the distance between any two bases on a baseball diamond is 90 feet.What ...

geometry - if home plate is 60.5 feet from the pitcher's mound, find the ...

physics - a baseball is thrown from a mound .833ft above ground level ,to home ...