Question

A U.S. Geological Survey map has a scale of 1:24200. If two buildings are 3.38 miles apart, how many inchesapart are they on the map?They areinches apart on the map.Submit Question

Answer 1

Given:

A U.S. Geological Survey map has a scale of 1:24200

There are two buildings that are 3.38 miles apart.

We will find how they are inches apart on the map

First, convert from miles to inches

1 mile = 63 360 inches

So, 3.38 miles = 3.38 * 63 360 inches = 214156.8 inches

The map has a scale of 1:24200

So, using the ratio and the proportions, we will find the length on the map as follows:

`\begin{gathered} 1:24200=x:214156.8 \\ \\ x=(214156.8)/(24200)=8.849 \end{gathered}`

Rounding to the nearest hundredth

So, the answer will be: 8.85 inches