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2 years ago

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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!

1 answer:

Assoli18 [71]2 years ago

4 0

<h2>346.3km</h2>

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 $346.3km$

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