The scale of a map is 1 cm ​: 15 km. Find the actual distance corresponding to the map distance. The distance on the map is 2.5 cm.

Respuesta :

The actual distance is 37.5 kilometers.

Step-by-step explanation:

Given,

Scale of map,

1 cm = 15 km

Ratio of cm to km = 1:15

Distance on map = 2.5 cm

Let,

x represents the actual distance for 2.5 cm

Ratio of cm to km = 2.5:x

Using proportion

Ratio of cm to km :: Ratio of cm to km

[tex]1:15::2.5:x\\[/tex]

Product of extreme = Product of mean

[tex]1*x = 15*2.5\\x=37.5[/tex]

The actual distance is 37.5 kilometers.

Keywords: ratio, proportion

Learn more about ratios at:

  • brainly.com/question/12284722
  • brainly.com/question/12363217

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