Question

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

Short answer

The solution is$241.3$feet.

Step-by-step solution

Step 1. Given information 

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

Step 2. Calculation 

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

Now, $a^2=b^2+c^2-2bc\cos A$

$={60}^2+{280}^2-2\times 60\times 280\cos 45°$

$=3600+78400-33600\cos 45°$

$a\approx 241.3$

So, the third base is$241.3$feet far from the fence in dead center.