Two joggers run 8 miles north and then 5 miles west. what is the shortest
distance, to the nearest tenth of a mile, they must travel to return to their
starting point?

9.43 miles

Step-by-step explanation:

Basically, you need to use Pythagoras  Theorem to work it out. So 8 miles up and 5 miles left would make the two sides, so you need to use the formula     c = . C is always the diagonal, which is what we need to find, to get the quickest way back.

So, using the online pythagoras calculator and the previous formula, you can work out that it is 9.43 miles

okay wait before i answer, is this for your points on a graph?

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2