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?
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:
Substituting the values from the problem gives:
The hiker is 5km from camp and should head in a generally south-east direction