A hiker travels 1.0 kilometer south, turns and travels 3.0 kilometers west, and then turns and travels 3.0 kilometers north. What is the total distance traveled by the hiker?
By using the Pythagorean theorem, we can calculate the total distance traveled by the hiker:
1.0 km south + 3.0 km west + 3.0 km north forms a right-angled triangle.
The distance traveled can be calculated as follows:
Total distance = sqrt((1.0)^2 + (3.0)^2) + 3.0
Total distance = sqrt(10) + 3.0
Total distance = 3.16 + 3.0
Total distance = 6.16 kilometers
Therefore, the total distance traveled by the hiker is 6.16 kilometers.