Chapter 10.5, Problem 18E

To determine

To find: The distance between Hazel street and Cherry street.

Answer to Problem 18E

The distance between Hazel street and Cherry streetis $2\sqrt{5}\text{miles}$ .

Explanation of Solution

Given information:

The given map is,

  

The intersection points of the perpendicular line of Pine Ave on the Hazel St. and the Cherry Stare $\left(6,0\right)$ and $\left(4,-4\right)$ .

The distance between Hazel street and Cherry street is calculated as,

  $\begin{array}{c}d=\sqrt{{\left(x_2-x_1\right)}^2+{\left(y_2-y_1\right)}^2}\end{array}$

    $\begin{array}{c}=\sqrt{{\left(6-4\right)}^2+{\left(0-\left(-4\right)\right)}^2}\end{array}$

    $\begin{array}{c}=2\sqrt{5}\text{miles}\end{array}$

Thus, the distance between Hazel street and Cherry street is $2\sqrt{5}\text{miles}$ .