Question

A person walked 5 meters towards the north, took a left turn and walked for 10 meters. He then took a right turn and walked for 20 meters, and again took a right turn and walked 10 meters. How far is he from the starting point?

• A. \( 20 \) meters
• B. \( 25 \) meters
• C. \( 30 \) meters
• D. \( 45 \) meters

Hint:

To solve movement-based problems, use the Pythagorean theorem to find the direct distance between the starting and final points when there are both horizontal and vertical movements.

Answer 1

The Correct Option is B

Step 1: Analyzing the movement.
The person first walks 5 meters north.
He then turns left (west) and walks 10 meters.
He takes a right turn (north again) and walks 20 meters.
Finally, he takes another right turn (east) and walks 10 meters.
Step 2: Visualizing the final position.
Now, let's find the person's distance from the starting point:
In the north-south direction, the person walked 5 meters north, then 20 meters north, so the total northward movement is \( 5 + 20 = 25 \) meters north.
In the east-west direction, the person walked 10 meters west and then 10 meters east, resulting in no net displacement in the east-west direction.
Thus, the total distance from the starting point is simply 25 meters north.