Question

The distance from home plate to the fence in dead center in Wrigley Field is $400$feet. How far is it from the fence in dead center to third base?

Short answer

The solution is$342.3$feet.

Step-by-step solution

Step 1. Given information 

The distance from home plate to the fence in dead center in Wrigley Field is $400$feet.

Step 2. Calculation 

Let the fence in dead center be A, home plate be B and the third base be C .

Now, $b^2=a^2+c^2-2ac\cos B$

$={90}^2+{400}^2-2\times 90\times 400\cos 45°$

$=8100+160000-72000\cos 45°$

$b\approx 342.3$

So, the third base is $342.3$feet far from the fence in dead center.