Question

A hiker follows a path that takes him 5 kilometers North, 8 kilometers East, and then 2 kilometers South. What is the distance of the hiker's journey?

A) 11 kilometers
B) 15 kilometers
C) 8 kilometers
D) 10 kilometers

Answer 1

To find the distance of the hiker's journey, we add the distances of each segment: 5 km + 8 km + 2 km = 15 km.

Step-by-step explanation:

To calculate the distance of the hiker's journey, we need to find the resultant displacement. We can break down the hiker's journey into three segments: 5 kilometers North, 8 kilometers East, and 2 kilometers South.

1. The hiker moves 5 kilometers North.
2. The hiker moves 8 kilometers East.
3. The hiker moves 2 kilometers South.

To find the total distance traveled, we add these three segments together: 5 + 8 + 2 = 15 kilometers.

Therefore, the correct answer is

15 kilometers.