Answer:
a) 1 inches= [tex]\frac{72}{7}[/tex] miles
b) 30.86 miles
Step-by-step explanation:
a) Given: Distance from liberty to west quall is 72 miles and it is 7 inches on the map.
To find : The scale on the map.
So, In 7 inches distance covered = 72 miles
In 1 inches distance covered= [tex]\frac{72}{7}[/tex]
Therefore, The scale on the map is
1 inches= [tex]\frac{72}{7}[/tex] miles.
b) Given: Foston is between liberty and west quall and is 4 inches from liberty on the map.
To find : Distance between foston to west quall (F to W)
We know the scale of map i.e. 1 inches= [tex]\frac{72}{7}[/tex] miles.
Firstly, we find the distance covered from liberty to foston i.e. 4 inches on the map
4 inches = [tex]4\times\frac{72}{7}[/tex] miles
4 inches = 41.14 miles
Now the distance between liberty to west quall (L to W)= 72 miles
and the distance between liberty to foston (L to F)= 41.14 miles
Therefore, the distance between foston to west quall(F to W)=distance(L to W)- distance(L to F) (Refer the attached graph)
Distance(F to W)= distance(L to W)- distance(L to F)
Distance(F to W)=72-41.14 miles = 30.86 miles
