Question

A cartographer used a scale of 1 inch:300 meters for the heights of different mountains. If the actual height of one of those mountains is 3,600 meters, what is its height on the map?​

Answer 1

The height on the map is of 12 inches.

Explanation:

Scale of 1 inch:300 meters

This means that each inch on the map represents 300 meters of real height.

If the actual height of one of those mountains is 3,600 meters, what is its height on the map?​

Using proportions, by a rule of three:

1 inch - 300 meters

x inches - 3600 meters

Applying cross multiplication:

`300x = 3600`

`x = (3600)/(300)`

`x = 12`

The height on the map is of 12 inches.