Question

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?

Answer 1

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.