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)?

Short answer

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

Step-by-step solution

Step 1. Given Information

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

So,$a=90feet$

Step 2. Distance directly from home plate to second base

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