A person walks 5 km north, then 5 km west, and finally 5 km south. How far is he

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Question: A person walks 5 km north, then 5 km west, and finally 5 km south. How far is he from the starting point?

Options:

Correct Answer: 5 km

Solution:

He is 5 km west of the starting point after the movements.

A person walks 5 km north, then 5 km west, and finally 5 km south. How far is he from the starting point?

A person walks 5 km north, then 5 km west, and finally 5 km south. How far is he from the starting point?

Step 1: Start at the starting point, which we can call point A.
Step 2: Walk 5 km north to reach point B.
Step 3: From point B, walk 5 km west to reach point C.
Step 4: From point C, walk 5 km south to reach point D.
Step 5: Now, point D is directly south of point B, but since you walked 5 km south from point B, you are now at the same east-west position as point A.
Step 6: Since you walked 5 km west from point A to point C, you are now 5 km west of point A.
Step 7: Therefore, the final distance from the starting point (point A) to point D is 5 km.

Coordinate Geometry – Understanding movements in a coordinate plane and calculating distances based on directional changes.
Vector Addition – Applying vector addition to determine the resultant position after a series of movements.