A person travels 10 km north, then 10 km west, and finally 10 km south. How far

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

Options:

Correct Answer: 5 km

Solution:

He is 5 km away from the starting point, as he is directly west of it.

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

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

Step 1: Start at the starting point (let's call it Point A).
Step 2: Travel 10 km north 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 south to reach Point D.
Step 5: Now, visualize the positions: Point A is the starting point, Point B is 10 km north, Point C is 10 km west of Point B, and Point D is directly south of Point C.
Step 6: Since Point D is directly west of Point A, the distance from Point D to Point A is the same as the distance traveled west, which is 10 km, minus the 5 km traveled south.
Step 7: Therefore, the distance from the starting point (Point A) to the final point (Point D) is 5 km.

Distance and Direction – Understanding how to calculate the resultant distance from a starting point after multiple movements in different directions.
Coordinate Geometry – Applying basic principles of coordinate geometry to visualize and calculate distances based on movements in a Cartesian plane.