Chapter 8.3, Problem 21Q

To determine

To find: The distance from home plate to second base and home plate to pitching mound.

Answer to Problem 21Q

The required distances are $127\text{ft}\text{and}64\text{ft}$ .

Explanation of Solution

Given information: $90\text{ft}$ is the distance from home plate to first base.

  

Formula used: $d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}$

Calculation: Since the distance between home plate to first base is $90\text{ft}$ .

Hence, the distance from home plate to second base:

  $\begin{array}{l}=\sqrt{{\left(90-0\right)}^2+{\left(90-0\right)}^2}\\ =\sqrt{16,200}\\ =127\text{ft}\end{array}$

Now, the distance from home plate to pitching mound:

  $\frac{127\text{ft}}{2}=64\text{ft}$