SOLUTION: Susan hiked from her camp, going North for exactly 4 miles. Then she made a turn and hiked East exactly 3 miles. Then she wanted to hike back to camp in a straight line back to her

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Question 405679: Susan hiked from her camp, going North for exactly 4 miles. Then she made a turn and hiked East exactly 3 miles. Then she wanted to hike back to camp in a straight line back to her camp. How far was she from camp?

how do I work this problem?
Found 2 solutions by rfer, nerdybill:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
This is a classic 3, 4, 5 triangle
a^2+b^2=c^2
9+16=25
sqrt 25=5

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Susan hiked from her camp, going North for exactly 4 miles. Then she made a turn and hiked East exactly 3 miles. Then she wanted to hike back to camp in a straight line back to her camp. How far was she from camp?
.
Apply Pythagorean theorem -- where the hypotenuse is the distance to camp.
.
Let x = distance (hypotenuse) to camp
then
x^2 = 4^2 + 3^2
x^2 = 16 + 9
x^2 = 25
x = 5 miles