Amelia hikes 12 miles due east and then 5 miles due north. What is the shortest distance in miles back to where she began?
(1 point)
Responses
13
13
11
11
6
6
4
To find the shortest distance back to where Amelia began, we can use the Pythagorean theorem.
The distance Amelia traveled east and north can be seen as the legs of a right triangle.
The distance traveled east is 12 miles and the distance traveled north is 5 miles.
So, the shortest distance back to where she began is the hypotenuse of the right triangle formed by these two distances.
Using the Pythagorean theorem, we have:
Shortest distance = √(12^2 + 5^2) = √(144 + 25) = √169 = 13
Therefore, the shortest distance in miles back to where Amelia began is 13 miles.
The correct answer is 13.