Chapter 8.4, Problem 29E

(a)

To determine

To graph: The route of car.

Explanation of Solution

Given information: Waterfall is in $4\text{miles}\text{east}$ .And lookout point is $2\text{miles}\text{north}$ .

Graph: The required graph is given below.

  

(b)

To determine

To find: The total distance you travel during hike.

Answer to Problem 29E

The total distance is $10.47\text{miles}$ .

Explanation of Solution

Given information: Using part (a) graph for data,

  

Calculation: Since $CW=4\&LC=2$

Hence,

  $\begin{array}{l}LW=\sqrt{{\left(4-0\right)}^2+{\left(0-2\right)}^2}\\ =\sqrt{16+4}\\ =\sqrt{20}\\ =4.47\end{array}$

Therefore, the total hike $=4+2+4.47=1.47\text{miles}$

(c)

To determine

To find: The total distance you travel during the entire hike.

Answer to Problem 29E

The total hike is $17.42\text{miles}$

Explanation of Solution

Given information: $CW=4\&LC=2$

Calculation: The distance $WX$ ,

  $\begin{array}{l}WX=\sqrt{{\left(-2-4\right)}^2+{\left(5-0\right)}^2}\\ =\sqrt{36+25}\\ =\sqrt{61}\\ WX=7.81\end{array}$

Now, the distance $XL$ ,

  $\begin{array}{l}XL=\sqrt{{\left(0-\left(-2\right)\right)}^2+{\left(2-5\right)}^2}\\ =\sqrt{4+9}\\ =\sqrt{13}\\ XL=3.61\end{array}$

The total hike $=4+7.81+3.61+2=17.42\text{miles}$