Chapter 8.2, Problem 34PPS

To determine

The more distance jogged on the alternate route.

Answer to Problem 34PPS

  $3\text{mi}$

Explanation of Solution

Given:

The given vertices are:

  

Calculation:

Let x be the unknown.

The length of the hypotenuse = 3/4m

The lengths of the legs are x mi and 0.45mi

The figure can be drawn as:

  

Apply Pythagorean Theorem,

  $\begin{array}{l}{c}^2=a^2+b^2\\ {\frac{3}{4}}^2=x^2+{0.45}^2\\ x^2+0.2025=0.5625\\ x^2=0.36\\ x=0.6\end{array}$

The more distance jogged on the alternate route will be:

  $\begin{array}{l}=\left(0.45+0.6\right)-0.75\\ =10.5\text{mi}-0.75\text{mi}\\ =3\text{mi}\end{array}$