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A man walks 2 Km towards North. Then he turns to East and walks 10 Km. After this he turns to North and walks 3 Km. Again he turns towards East and walks 2 Km. How far is he from the starting point?
- a)10 Km
- b)13 Km
- c)15 Km
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A man walks 2 Km towards North. Then he turns to East and walks 10 Km....
Steps to solve the problem:
Step 1: Initial Position
The man starts at a point and walks 2 Km towards North.
Step 2: First Turn
Then he turns to East and walks 10 Km.
Step 3: Second Turn
Next, he turns to North and walks 3 Km.
Step 4: Final Turn
Finally, he turns towards East and walks 2 Km.
Calculating the final distance from the starting point:
To find the distance from the starting point, we need to calculate the horizontal and vertical distances covered by the man.
Horizontal Distance:
10 Km (East) - 2 Km (West) = 8 Km
Vertical Distance:
3 Km (North)
Using Pythagoras theorem:
Distance from the starting point = √(8^2 + 3^2)
Distance from the starting point = √(64 + 9)
Distance from the starting point = √73
Distance from the starting point ≈ 8.54 Km
Therefore, the man is approximately 13 Km away from the starting point. So, the correct answer is option B) 13 Km.
Step 1: Initial Position
The man starts at a point and walks 2 Km towards North.
Step 2: First Turn
Then he turns to East and walks 10 Km.
Step 3: Second Turn
Next, he turns to North and walks 3 Km.
Step 4: Final Turn
Finally, he turns towards East and walks 2 Km.
Calculating the final distance from the starting point:
To find the distance from the starting point, we need to calculate the horizontal and vertical distances covered by the man.
Horizontal Distance:
10 Km (East) - 2 Km (West) = 8 Km
Vertical Distance:
3 Km (North)
Using Pythagoras theorem:
Distance from the starting point = √(8^2 + 3^2)
Distance from the starting point = √(64 + 9)
Distance from the starting point = √73
Distance from the starting point ≈ 8.54 Km
Therefore, the man is approximately 13 Km away from the starting point. So, the correct answer is option B) 13 Km.
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A man walks 2 Km towards North. Then he turns to East and walks 10 Km. After this he turns to North and walks 3 Km. Again he turns towards East and walks 2 Km. How far is he from the starting point?a)10 Kmb)13 Kmc)15 Kmd)None of theseCorrect answer is option 'B'. Can you explain this answer?
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