Answer : The distance travel to return directly back to your starting point is, 74 miles.
Step-by-step explanation :
We made a right angle ΔABC by the given directions. Now we have to determine the side
Using Pythagoras theorem in ΔABC :
[tex](Hypotenuse)^2=(Perpendicular)^2+(Base)^2[/tex]
[tex](AC)^2=(AB)^2+(BC)^2[/tex]
Given:
Side AB = 24 mile
Side BC = 70 mile
Now put all the values in the above expression, we get the value of side AC.
[tex](AC)^2=(24)^2+(70)^2[/tex]
[tex]AC=\sqrt{(24)^2+(70)^2}[/tex]
[tex]AC=\sqrt{576+4900}[/tex]
[tex]AC=\sqrt{5476}[/tex]
[tex]AC=74[/tex]
Thus, the distance travel to return directly back to your starting point is, 74 miles.
