# A hiker walks 12 miles due north. Then he turns and walks 16 miles due east. At this point, how many miles is the hiker from his starting point?

$20$ miles
$\sqrt{{12}^{2} + {16}^{2}} = \sqrt{144 + 256} = \sqrt{400} = 20$
This is a $3 , 4 , 5$ triangle scaled up by a factor of $4$ miles.