Question

Find the scale ratio for the map described below.1 cm (map) = 5 km (actual)The scale ratio is 1 to

Answer 1

1 to 500000

Explanation

to solve this we need to know the equivalence

$\begin{gathered} 1\text{ km=1000 m} \\ 1\text{ m=100 cm} \\ hence \\ 1\text{ km=\lparen1000*100\rparen cm} \\ 1\text{ km=100000 cm} \end{gathered}$

The scale ratio of a model represents the proportional ratio of a linear dimension of the model to the same feature of the original.

$scale\text{ factor=}\frac{length\text{ on paper}}{length\text{ on terrain}}$

so

Step 1

a)Let

$\begin{gathered} length\text{ on paper= 1 cm} \\ length\text{ on terrrain = 5km=}5km*(100000\frac{cm}{km}=500000\text{ cm} \end{gathered}$

b) now, replace

$\begin{gathered} scale\text{factor=}\frac{length\text{onpaper}}{length\text{onterra\imaginaryI n}} \\ scale\text{ factor=}\frac{1\text{ cm}}{500000\text{ cm}} \\ scale\text{ factor 1:500000} \end{gathered}$

therefore, the scale factor is

1 to 500000

I hope this helps you