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Chapter 8: Q. 52 (page 536)

The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280feet. How far is it from the fence in dead center to third base?

Short Answer

Expert verified

The solution is241.3feet.

Step by step solution

01

Step 1. Given information 

The distance from home plate to the fence in dead center at the Oak Lawn Little League field is 280feet.

02

Step 2. Calculation 

The distance between the bases in Little leagues is 60feet. Let the home plate be A, fence in dead center be B and the third base be C .

Now, a2=b2+c2-2bccosA

=602+2802-2×60×280cos45°

=3600+78400-33600cos45°

a≈241.3

So, the third base is241.3feet far from the fence in dead center.

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