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

Step-by-step 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,$\frac{a}{b}$=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 $\frac{11.94cm}{scale}=\frac{11.94\times 29km}{1}=346.26km$

So,the actual distance is approximately $346.3km$