Q. 106 - Precalculus Enhanced with Graphing Utilities

Question

Little League Baseball The layout of a Little League playing field is a square, 60 feet on a side. How far is it directly from home plate to second base (the diagonal of the square)?

Step-by-Step Solution

Answer

The from home plate to second base is $60\sqrt{2}$ feet,.

Step 1. Given Information

The layout of a Little League playing field is a square, 60 feet on a side.

Step 2. Distance from home plate to second base

$$\begin{gathered} \sqrt{{\left(60-0\right)}^2+{\left(60-0\right)}^2}=\sqrt{3600+3600} \\ =\sqrt{7200}=60\sqrt{2} \end{gathered}$$