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A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?
- a)West
- b)South
- c)North-East
- d)South-West
Correct answer is option 'D'. Can you explain this answer?
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A man walks 5 km toward south and then turns to the right. After walki...
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A man walks 5 km toward south and then turns to the right. After walki...
Starting Position
The man starts by walking 5 km towards the south. Let's assume that the starting position is point A.
First Turn
After walking 5 km south, the man turns to the right. This means he is now facing west. Let's assume that the new direction he is facing is indicated by a compass arrow pointing to the right, which represents the west direction.
Second Walk
The man walks 3 km in the west direction. This means he continues to move in the same direction he turned after the first walk.
Second Turn
After walking 3 km in the west direction, the man turns to the left. This means he is now facing south. Let's assume that the new direction he is facing is indicated by a compass arrow pointing downwards, which represents the south direction.
Final Walk
The man walks 5 km in the south direction. This means he continues to move in the same direction he turned after the second walk.
Determining the Final Direction
To determine the final direction, we need to analyze the path taken by the man. He started by walking 5 km south, then turned to the right (west) and walked 3 km, and finally turned to the left (south) and walked 5 km.
If we draw a diagram or imagine the path, we can see that the man has formed a right-angled triangle. The hypotenuse of this triangle represents the distance between the starting point (A) and the final position.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
Hypotenuse^2 = (5 km)^2 + (3 km)^2
Hypotenuse^2 = 25 km^2 + 9 km^2
Hypotenuse^2 = 34 km^2
Hypotenuse ≈ 5.83 km
Therefore, the man is approximately 5.83 km away from the starting point. By analyzing the direction of the hypotenuse, we can determine that he is in the southwest direction. Thus, the correct answer is option D) South-West.
The man starts by walking 5 km towards the south. Let's assume that the starting position is point A.
First Turn
After walking 5 km south, the man turns to the right. This means he is now facing west. Let's assume that the new direction he is facing is indicated by a compass arrow pointing to the right, which represents the west direction.
Second Walk
The man walks 3 km in the west direction. This means he continues to move in the same direction he turned after the first walk.
Second Turn
After walking 3 km in the west direction, the man turns to the left. This means he is now facing south. Let's assume that the new direction he is facing is indicated by a compass arrow pointing downwards, which represents the south direction.
Final Walk
The man walks 5 km in the south direction. This means he continues to move in the same direction he turned after the second walk.
Determining the Final Direction
To determine the final direction, we need to analyze the path taken by the man. He started by walking 5 km south, then turned to the right (west) and walked 3 km, and finally turned to the left (south) and walked 5 km.
If we draw a diagram or imagine the path, we can see that the man has formed a right-angled triangle. The hypotenuse of this triangle represents the distance between the starting point (A) and the final position.
Using the Pythagorean theorem, we can calculate the length of the hypotenuse:
Hypotenuse^2 = (5 km)^2 + (3 km)^2
Hypotenuse^2 = 25 km^2 + 9 km^2
Hypotenuse^2 = 34 km^2
Hypotenuse ≈ 5.83 km
Therefore, the man is approximately 5.83 km away from the starting point. By analyzing the direction of the hypotenuse, we can determine that he is in the southwest direction. Thus, the correct answer is option D) South-West.
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A man walks 5 km toward south and then turns to the right. After walking 3 km he turns to the left and walks 5 km. Now in which direction is he from the starting place?a)Westb)Southc)North-Eastd)South-WestCorrect answer is option 'D'. Can you explain this answer?
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