Chapter 8.1, Problem 50PS

Solution

To find: Use the information given to find the distance a medical evacuation (“medevac”) helicopter would have to fly to Memorial Medical Center from each location. Each unit on the map represents 1 mile, and the letters N, S, E, and W indicate direction.

Hence, the distance between Memorial Medical Center and Washington Park is 1.91 miles.

Given: the location of Washington Park

Concept Used:

distance formula is given by $d=\sqrt{{\left(x_1-x_2\right)}^2+{\left(y_1-y_2\right)}^2}$

Calculation: Coordinates of Memorial Medical Center is $00.5N\Rightarrow \left(0,0.5\right)$

And Coordinates Washington Park is $1.4W0.8S\Rightarrow \left(-1.4,-0.8\right)$

Finding the distance between Memorial Medical Center and Washington Park:

  $\begin{array}{c}d=\sqrt{{\left(-1.4-0\right)}^2+{\left(-0.8-0.5\right)}^2}\\ d=\sqrt{{\left(-1.4\right)}^2+{\left(-1.3\right)}^2}\\ d=\sqrt{1.96+1.69}\\ d=\sqrt{3.65}\\ d=1.91049732\\ d\approx 1.91\text{ units}\\ d\approx 1.91\text{ miles}\end{array}$

Conclusion:

Hence, the distance between Memorial Medical Center and Washington Park is 1.91 miles.