If a person walks 5 km north, then 5 km east, where is he relative to the starti

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Question: If a person walks 5 km north, then 5 km east, where is he relative to the starting point?

Options:

Correct Answer: 5 km north-east

Solution:

The person is 5 km north-east from the starting point, forming a right triangle.

If a person walks 5 km north, then 5 km east, where is he relative to the starting point?

If a person walks 5 km north, then 5 km east, where is he relative to the starting point?

Step 1: Start at the starting point, which we can call Point A.
Step 2: Walk 5 km north from Point A to reach Point B.
Step 3: From Point B, walk 5 km east to reach Point C.
Step 4: Now, you have created a right triangle where Point A is the starting point, Point B is 5 km north, and Point C is 5 km east of Point B.
Step 5: To find the distance from Point A to Point C, use the Pythagorean theorem: distance = √(5^2 + 5^2).
Step 6: Calculate the distance: √(25 + 25) = √50, which is approximately 7.07 km.
Step 7: The direction from Point A to Point C is north-east.

Vector Addition – Understanding how to combine movements in different directions to determine final position.
Right Triangle Properties – Using the Pythagorean theorem to find the distance from the starting point.