Question

Justin walked 3 miles north and 6 miles west. Starting from the same point, Tina walked 2 miles south and 4 miles east. How far apart are Justin and Tina?
(Hint: Draw a diagram.)
Select one of the options below as your answer:
. about 5.8 miles
B. about 11.2 miles
C. about 23 miles
D. about 19.8 miles

Answer 1

Lets say they started at the origin of the x y plane. 3 miles north and 6 west puts Justin at the point (3, -6)
2 miles south an 4 east puts tina at the point (-2, 4)
Basically you want the distance from those two points which is given by the distance formula:
\[\sqrt{(3-(-2))^{2}+(-6-4)^{2}} = \sqrt{125} = \sqrt{25(5)} = 5\sqrt{5}\]

Answer 2

so wat is it

Answer 3

I don't have a calculator on me, sry. Just pop that in a calculator and it will give you the answer.

Answer 4

99% of the answer isn't good enough!