A boy runs 4 km to the East side then turns to the right side 6 km, and then turns left runs 8 km again. Turn left to run 3 km again, turn left 4 km, then turn right 1 km. Now the boy is in which direction? 

Let's break down the boy's movements step by step and determine his final position and direction:

1. **First Movement**: The boy runs 4 km to the East.
2. **Second Movement**: The boy turns right (which is towards the South) and runs 6 km.
3. **Third Movement**: The boy turns left (which is towards the East again) and runs 8 km.
4. **Fourth Movement**: The boy turns left (which is now towards the North) and runs 3 km.
5. **Fifth Movement**: The boy turns left (which is towards the West) and runs 4 km.
6. **Sixth Movement**: The boy turns right (which is towards the North) and runs 1 km.

### Final Direction:
After these steps, the boy is now facing **North**.

Would you like a detailed breakdown of his final position or any other clarification?

Here are 5 related questions to expand your understanding:
1. How would the boy's final position change if he turned right instead of left on his third turn?
2. What would the total distance traveled by the boy be?
3. How could you represent this motion on a coordinate plane?
4. What if the boy turned left after every move; where would he end up?
5. How would this problem change if the directions were given as bearings (angles)?

**Tip**: Always keep track of direction changes as turning left or right alters relative orientation.

A boy runs 4 km to the East side then turns to the right side 6 km, and then turns left runs 8 km again. Turn left to run 3 km again, turn left 4 km, then turn right 1 km. Now the boy is in which direction?

Learn how to determine the final direction of a boy after a series of turns and movements. This problem teaches direction and orientation concepts in a 2D plane, perfect for middle school students in Grades 6-8. No complex formulas required, just logical analysis of right and left turns.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation