A person travels 10 km south, then 10 km west, and finally 10 km north. In which

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Question: A person travels 10 km south, then 10 km west, and finally 10 km north. In which direction is he from his starting point?

Options:

Correct Answer: West

Solution:

He is 10 km west from his starting point.

A person travels 10 km south, then 10 km west, and finally 10 km north. In which direction is he from his starting point?

A person travels 10 km south, then 10 km west, and finally 10 km north. In which direction is he from his starting point?

Step 1: Start at the starting point (let's call it Point A).
Step 2: Travel 10 km south to reach Point B.
Step 3: From Point B, travel 10 km west to reach Point C.
Step 4: From Point C, travel 10 km north to reach Point D.
Step 5: Now, compare Point D with Point A. You are directly west of Point A.
Step 6: Since you moved 10 km south and then 10 km north, your north-south position is the same as Point A.
Step 7: The only change is that you moved 10 km west from Point A.

Coordinate Geometry – Understanding movements in a Cartesian plane and how to calculate final positions based on directional movements.
Vector Addition – Applying vector addition to determine the resultant position after a series of movements in different directions.