Answer:
3.4 miles.
Step-by-step explanation:
We have been given map of a city limits. We are asked to find length of the actual straight east-west road in miles.
On the map 1 inch equals 500 feet.
The East-west road is 36 inches on scale. So actual length of road would be:
[tex]\text{Actual road length}=\text{36 inches}\times \frac{\text{500 feet}}{\text{ 1 inch}}[/tex]
[tex]\text{Actual road length}=\text{36}\times \text{500 feet}[/tex]
[tex]\text{Actual road length}=18000\text{ feet}[/tex]
Now, we will convert the actual road length into miles by dividing 18,000 feet by 5,280 feet as 1 mile equals 5,280 feet.
[tex]\text{Actual road distance in miles}=\frac{18,000}{5,280}[/tex]
[tex]\text{Actual road distance in miles}=3.409090\approx 3.4[/tex]
Therefore, the actual road length of straight east-west road is 3.4 miles.
