Answer:
Actual distance is 4500 cm (45 m).
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease proportionally the dimension of a given object.
scale = [tex]\frac{distance on map}{actual distance}[/tex]
It is in the form of a ratio.
From the question, Distance on map = 4.5 cm,
scale = 1 : 1000
= [tex]\frac{1}{1000}[/tex]
scale = [tex]\frac{distance on map}{actual distance}[/tex]
Let the actual distance be represented by d.
So that,
[tex]\frac{1}{1000}[/tex] = [tex]\frac{4.5}{d}[/tex]
⇒ d = 4.5 x 1000
= 4500
d = 4500
The actual distance is 4500 cm (45 m).
