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
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