Answer:
61 miles.
Step-by-step explanation:
Given: driving north for 11 miles and drive east for another 60 miles.
As given in the question, the travelling pattern show a right angle triangle, where hypotenuse line is the way to return back directly to starting point. As shown in picture attached.
∴ we can say, adjacent (a) is 11 miles and opposite (b) is 60 miles
Now, using Pythagoras theorem to get distance to return.
[tex]h^{2} = a^{2} +b^{2}[/tex]
⇒ [tex]h^{2} = 11^{2} +60^{2}[/tex]
⇒ [tex]h^{2} = 121+3600= 3721[/tex]
⇒ [tex]h= \sqrt{3721}[/tex]
∴[tex]h= 61[/tex]
∴ 61 miles need to be travel to return back directly to starting point.
