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

Algebra.Com
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)   (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)   (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

RELATED QUESTIONS

The distance between Marge and the Dude ranch was 4 square root 34 miles straight across... (answered by nyc_function)
The distance between Majorie and the dude ranch was (4times the square root of 34) miles... (answered by ankor@dixie-net.com)
the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested (answered by stanbon)
the distance between sue and dude ranch was 30 mi.straight across a rattlesnake- infested (answered by nerdybill)
Megan drove her car 7 miles north, then made a left turn and drove 3 miles west. How far... (answered by JulietG)
Janet starts at her house and walks 10 miles north and then 4 miles east then stops.Is... (answered by ikleyn)
From her camp,Jane hikes 6 miles due north and then 2 miles due east.If she follow a... (answered by josgarithmetic)
a women travels one mile due north, then two miles due east, then three miles due north... (answered by checkley77)
Donna hikes 3 miles north and then 4 miles east. What is the length of the diagonal... (answered by Alan3354)