Question 133766
You have a right triangle.  The vertical leg is 29,045 feet, the horizontal leg is 3 miles = {{{3*5280=15840}}} feet, and the length of the climb is the hypotenuse, so using Pythagoras' Theorem:


{{{c=sqrt(a^2+b^2)}}}


{{{c=sqrt(29045^2+15840^2)}}}


{{{c=sqrt(843612025+250905600)}}}


{{{c=sqrt(1094517625)}}}.


That is the exact answer.  Roughly 33083.5 feet, but your least precise given measurement was given to the nearest mile, so 33083.5 is roughly 6.25 miles, rounded to the nearest mile is 6 miles.  Numerical approximations for calculations based on measurements should never be stated more precisely than the <i>least</i> precise given measurement.