Question

You are given a map that is 1:500,000 scale. City A and City B on the map are 3 inches apart. How many miles apart are they in the real world? (precision to nearest tenth) Show your work.12 inches = 1 foot, 5,280 feet = 1 mile, so 2,000,000 inches = 31.6 miles

Answer 1

Answer : The miles apart they in the real world are, 23.7 miles.

Explanation :

As we are given that a map that is 1 : 500,000 scale. That means, 1 inch of map is equal to 500000 inch on real world. Now we have to determine the how many miles apart are they in the real world.

First we have to convert 3 inches to feet.

As, 12 inches = 1 foot

So, 3 inches =
`\frac{3\text{ inches}}{12\text{ inches}}* 1\text{ foot}=(1)/(4)\text{ foot}`

Now we have to convert feet to mile.

As, 5280 feet = 1 mile

So,
`(1)/(4)\text{ feet}=(1)/(4* 5280)\text{ mile}=4.73* 10^(-5)\text{ miles}`

Now we have to determine the how many miles apart are they in the real world.

Miles apart are they in the real world =
`500000* 4.73* 10^(-5)\text{ miles}`

Miles apart are they in the real world =
`23.7\text{ miles}`

Thus, the miles apart they in the real world are, 23.7 miles.