A man walks 4 km north, then 3 km east, and finally 4 km south. How far is he fr

₹0.0

Question: A man walks 4 km north, then 3 km east, and finally 4 km south. How far is he from his starting point?

Options:

Correct Answer: 3 km

Solution:

He is 3 km away from the starting point, as he ends up directly east of it.

A man walks 4 km north, then 3 km east, and finally 4 km south. How far is he from his starting point?

A man walks 4 km north, then 3 km east, and finally 4 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: Walk 4 km north to reach point B.
Step 3: From point B, walk 3 km east to reach point C.
Step 4: From point C, walk 4 km south to reach point D.
Step 5: Now, determine the position of point D relative to point A.
Step 6: Point D is directly east of point A because you walked back down the same distance you went north.
Step 7: The distance from point A to point D is the same as the distance you walked east, which is 3 km.
Step 8: Therefore, the man is 3 km away from his starting point.

Coordinate Geometry – Understanding movements in a 2D plane and calculating distances using the Pythagorean theorem.
Vector Addition – Breaking down movements into components and determining the resultant position.