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Solve the following questions and choose the correct alternative.

Aman runs towards the North for 10 m, turns left, and runs another 20 m. He then turns right and walks slowly for 10 m. Afterward, he turns right again, walks another 50 m, and stops.

In which direction is he with respect to his initial position?

A. South-East
B. North-East
C. North-West
D. South-West

Sagot :

GinnyAnsweridn
To solve this problem, we need to track Aman's movements step-by-step from his initial position. Let’s break it down:

1. Initial Position:
Aman's initial coordinates are (0, 0).

2. First Movement:
- Aman runs towards the North for 10 meters.
- New coordinates: (0, 10)

3. Second Movement:
- Aman turns left. If he's facing North, turning left will point him West.
- He runs 20 meters to the West.
- New coordinates: (-20, 10)

4. Third Movement:
- Aman turns right. From facing West, turning right will point him North.
- He walks 10 meters to the North.
- New coordinates: (-20, 20)

5. Fourth Movement:
- Aman turns right again. From facing North, turning right will point him East.
- He walks 50 meters to the East.
- New coordinates: (30, 20)

Now, we compare Aman's final position (30, 20) relative to his starting position (0, 0).

- He is 30 meters to the East and
- 20 meters to the North

Therefore, the direction he is facing with respect to his initial position is South-East.

So, the correct alternative is:
South-East
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