Q. 105 - Precalculus Enhanced with Graphing Utilities

Question

Baseball A major league baseball “diamond” is actually a square, 90 feet on a side (see the figure). What is the distance directly from home plate to second base (the diagonal of the square)?

Step-by-Step Solution

Answer

The distance directly from home plate to second base is 127.7 feet.

Step 1. Given Information

Baseball A major league baseball “diamond” is actually a square, 90 feet on a side (see the figure). 

So, $a=90 feet$

Step 2. Distance directly from home plate to second base

$$\begin{gathered} H^2={90}^2+{90}^2 \\ H=\sqrt{{90}^2\left(1+1\right)} \\ H=90\sqrt{2} \\ H=127.7 feet \end{gathered}$$