Question

You start driving north for 11 miles, turn right, and drive east for another 60 miles.

Answer 1

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.

$h^{2} = a^{2} +b^{2}$

⇒ $h^{2} = 11^{2} +60^{2}$

⇒ $h^{2} = 121+3600= 3721$

⇒ $h= \sqrt{3721}$

∴$h= 61$

∴ 61 miles need to be travel to return back directly to starting point.