Question

a map has a scale of 1 cm = 29 km. if the two cities are 11.94 cm apart on the map, what is the actual distance between the two cities to the nearest tenth of a km? please show work!

Answer 1

346.3km

Explanation:

Map scale refers to the ratio between distance on a map and the corresponding distance on the ground.

Let
`a` be a distance in the map.

Let
`b` be the same distance in the map.

then,
`(a)/(b)`=scale of the map.

In this question,
`a=1cm` and
`b=29km`

If the distance between 2 points in a map is
`11.94cm` ,the actual distance is
`(11.94cm)/(scale)=(11.94* 29km)/(1)=346.26km`

So,the actual distance is approximately
`346.3km`