Answer:
The distance between campsite and checkpoint is: 4.47 miles
Step-by-step explanation:
Given that the coordinates :
Campsite at (-8,-6) and
Next checkpoint at (-4,-4).
To find:
Distance between campsite and checkpoint = ?
Solution:
Let point A be the campsite i.e. A(-8, -6)
Let point B be the next checkpoint i.e. B(-4, -4)
We have to find the distance AB.
We can use Distance formula to find the distance between two points on xy coordinate plane:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]x_1 = -8\\y_1 = -6\\x_2 = -4\\y_2 = -4[/tex]
[tex]AB = \sqrt{(-4-(-8))^2+(-4-(-6))^2}\\\Rightarrow AB = \sqrt{4^2+2^2}\\\Rightarrow AB = \sqrt{16+4}\\\Rightarrow AB = \sqrt{20}\\\Rightarrow \bold{AB=4.47}[/tex]
So, the distance between campsite and checkpoint is: 4.47 miles
