Answer
the distance flown by the helicopter is $c =74.3~mi$
Work Step by Step
The distance the helicopter has flown (we can call it $c$) can be calculated as the hypotenuse of the right triangle using the Pythagorean Theorem.
We have the sides:
$a = 62 mi$
$b = 41 mi$
Thus, we have:
$c^2=a^2+b^2$
$c=\sqrt{62^2+41^2}$
$c = \sqrt {(62 mi)^{2} + (41mi)^{2}} = 74.3~mi$