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
`√((7-3)^2+(-2-8))^2}= √(4^2+(-10)^2)= √(16+100)= √(116)=10.8`
As every unit is 1 mile, so the distance should be 10.8*1=10.8miles.

Hope this helps.