Question

A coordinate grid is placed over a map and every unit represents 1 mi. The point at (3, 8) represents the location of the baseball stadium and the point at (7, –2) represents the location of the post office. To the nearest tenth of a mile, what is the distance between the baseball stadium and the post office?

Answer 1

The distance between 2 points $( x_{1}, y_{1})$ and $( x_{2}, y_{2})$ on the coordinate plane is $\sqrt{(x_{2}-x_{1})^2-(y_{2}-y_{1})^2}$
So the distance between the given points is $\sqrt{(7-3)^2+(-2-8})^2}= \sqrt{4^2+(-10)^2}= \sqrt{16+100}= \sqrt{116}=10.8$
As every unit is 1 mile, so the distance should be 10.8*1=10.8miles.

Hope this helps.