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From his house, Lokesh went 15 kms to th...

From his house, Lokesh went 15 kms to the North. Then he turned West and covered 10 kms. Then, he turned South and covered 5 kms. Finally turning to East, he covered 10 kms. In which direction is he from his house ?

A

East

B

West

C

North

D

South

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem step by step, we will track Lokesh's movements from his house and determine his final position relative to his starting point. ### Step-by-Step Solution: 1. **Starting Point**: Let's denote Lokesh's house as point O. 2. **First Movement**: Lokesh goes 15 km to the North. - From point O, he moves straight up (North) to point A. - Distance OA = 15 km. 3. **Second Movement**: Lokesh turns West and covers 10 km. - From point A, he turns left (West) and moves to point B. - Distance AB = 10 km. 4. **Third Movement**: Lokesh turns South and covers 5 km. - From point B, he turns down (South) and moves to point C. - Distance BC = 5 km. 5. **Fourth Movement**: Lokesh finally turns East and covers 10 km. - From point C, he turns right (East) and moves to point D. - Distance CD = 10 km. 6. **Final Position**: - Now, we need to determine Lokesh's final position relative to his starting point O. - After moving North (15 km), West (10 km), South (5 km), and East (10 km), we can analyze his final coordinates: - After moving North 15 km, he is at (0, 15). - After moving West 10 km, he is at (-10, 15). - After moving South 5 km, he is at (-10, 10). - After moving East 10 km, he returns to (0, 10). 7. **Direction from House**: - Lokesh's final position is at (0, 10), which is directly North of his starting point O (0, 0). - Therefore, Lokesh is 10 km North of his house. ### Conclusion: Lokesh is in the **North** direction from his house.

To solve the problem step by step, we will track Lokesh's movements from his house and determine his final position relative to his starting point. ### Step-by-Step Solution: 1. **Starting Point**: Let's denote Lokesh's house as point O. 2. **First Movement**: Lokesh goes 15 km to the North. - From point O, he moves straight up (North) to point A. ...
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