Chapter 7.7, Problem 10PPS

a.

To determine

To find the scale of the map.

Answer to Problem 10PPS

  $\frac{\text{1}}{0.27}\text{in/miles}$

Explanation of Solution

Given:

The actual distance between two intersections is $0.47$ miles.

Calculation:

The approximate length on a rule between the two intersections is $1.75$ inch.

Finding the scale of the map as follows-

Now let us apply the proportion rule-

  $\text{scale}=\frac{\text{map}}{\text{actaul}}\text{ =}\frac{\text{1}\text{.75 in}}{0.47\text{mi}}=\frac{\text{1}}{0.27}\text{in/miles}$

b.

To determine

To find the approximate scale factor of the map.

Answer to Problem 10PPS

  $1:17107.2$

Explanation of Solution

Given:

The actual distance between two intersections is $0.47$ miles.

Calculation:

Change the miles into inches determine the scale factor as follows-

Scale factor $=\frac{\text{0}\text{.27 mi}}{\text{1 in}}\times \frac{5280\text{ ft}}{1\text{ mi}}\times \frac{12\text{ in}}{1\text{ ft}}=17107.2$

Therefore, the actual town is $17107.2$ times as tall as map.