Answer:
Ferry will travel 5.099 miles.
Step-by-step explanation:
Given:
The point a = (4,12)
The point b = (6,2)
Each unit on the grid is 0.5 mile
To Find:
The Distance between the two points = ?
Solution:
Let the Distance between the two given points be X,
then we can find the value of X using Distance formula
X = [tex]\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}[/tex]
Here
[tex]x_1[/tex] = 4
[tex]x_2[/tex]=6
[tex]y_1[/tex] = 12
[tex]y_2[/tex] = 2
Now substituting these values in the above formula we get
X = [tex]\sqrt{(6-4)^2 +(2-12)^2}[/tex]
X = [tex]\sqrt{(2)^2 +(-10)^2}[/tex]
X = [tex]\sqrt{4 +100}[/tex]
X = [tex]\sqrt{104}[/tex]
X = 10.1980
It is given that each unit on the grid is 0.5 mile, so lets divide the value of X by 2
=> [tex]\frac{10.1980}{2}[/tex]
=>5.099
