# A hiker leaves camp and using a compass walks 3 km west then 4 km north. How far is the hiker from camp at this point and which direction should be taken to get back to camp?

##### 1 Answer

Feb 2, 2017

Because the hiker walked directly west and then directly north the two legs of the hike forms a right triangle. Therefore we can use the Pythagorean Theorem to solve this problem.

The Pythagorean Theorem states:

Where:

Substituting the values from the problem gives:

The hiker is 5km from camp and should head in a generally south-east direction