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Rana walks 20 m straight in north direction and 20 m to the right. Then every turning to his left he walks 5, 25 and 25 metres respectively. How far is he from his starting point now?
- a)5 m
- b)20 m
- c)25 m
- d)30 m
Correct answer is option 'A'. Can you explain this answer?
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Rana walks 20 m straight in north direction and 20 m to the right. The...
The movement of Rana is shown in the figure below.
He is 5m away from his starting point.
He is 5m away from his starting point.
Most Upvoted Answer
Rana walks 20 m straight in north direction and 20 m to the right. The...
To solve this problem, we need to break down Rana's movements step by step and calculate the distance from his starting point after each movement.
- First Movement: Rana walks 20 m straight in the north direction.
This means he moves directly upwards by 20 meters. Let's call this point A.
- Second Movement: Rana walks 20 m to the right.
From point A, he moves to the right by 20 meters. Let's call this point B.
- Third Movement: Rana turns left and walks 5 m.
From point B, he turns left and moves 5 meters. Let's call this point C.
- Fourth Movement: Rana turns left again and walks 25 m.
From point C, he turns left and moves 25 meters. Let's call this point D.
- Fifth Movement: Rana turns left once more and walks 25 m.
From point D, he turns left and moves 25 meters. Let's call this point E.
Now, let's calculate the distance from Rana's starting point (point A) to his current position (point E).
- Distance from A to B: This is a horizontal movement, so there is no change in the vertical position. The distance between A and B is 20 meters.
- Distance from B to C: This is a vertical movement, so there is no change in the horizontal position. The distance between B and C is 5 meters.
- Distance from C to D: This is a horizontal movement, so there is no change in the vertical position. The distance between C and D is 25 meters.
- Distance from D to E: This is a vertical movement, so there is no change in the horizontal position. The distance between D and E is 25 meters.
To find the total distance between A and E, we need to calculate the horizontal and vertical distances separately.
- Horizontal Distance: The horizontal distance is the sum of the distances from A to B and from C to D. So, it is 20 meters + 25 meters = 45 meters.
- Vertical Distance: The vertical distance is the sum of the distances from B to C and from D to E. So, it is 5 meters + 25 meters = 30 meters.
Now, we can use the Pythagorean theorem to calculate the total distance between A and E.
Total Distance = √(Horizontal Distance^2 + Vertical Distance^2)
Total Distance = √(45^2 + 30^2)
Total Distance = √(2025 + 900)
Total Distance = √2925
Total Distance ≈ 54.03 meters
Therefore, Rana is approximately 54.03 meters away from his starting point.
- First Movement: Rana walks 20 m straight in the north direction.
This means he moves directly upwards by 20 meters. Let's call this point A.
- Second Movement: Rana walks 20 m to the right.
From point A, he moves to the right by 20 meters. Let's call this point B.
- Third Movement: Rana turns left and walks 5 m.
From point B, he turns left and moves 5 meters. Let's call this point C.
- Fourth Movement: Rana turns left again and walks 25 m.
From point C, he turns left and moves 25 meters. Let's call this point D.
- Fifth Movement: Rana turns left once more and walks 25 m.
From point D, he turns left and moves 25 meters. Let's call this point E.
Now, let's calculate the distance from Rana's starting point (point A) to his current position (point E).
- Distance from A to B: This is a horizontal movement, so there is no change in the vertical position. The distance between A and B is 20 meters.
- Distance from B to C: This is a vertical movement, so there is no change in the horizontal position. The distance between B and C is 5 meters.
- Distance from C to D: This is a horizontal movement, so there is no change in the vertical position. The distance between C and D is 25 meters.
- Distance from D to E: This is a vertical movement, so there is no change in the horizontal position. The distance between D and E is 25 meters.
To find the total distance between A and E, we need to calculate the horizontal and vertical distances separately.
- Horizontal Distance: The horizontal distance is the sum of the distances from A to B and from C to D. So, it is 20 meters + 25 meters = 45 meters.
- Vertical Distance: The vertical distance is the sum of the distances from B to C and from D to E. So, it is 5 meters + 25 meters = 30 meters.
Now, we can use the Pythagorean theorem to calculate the total distance between A and E.
Total Distance = √(Horizontal Distance^2 + Vertical Distance^2)
Total Distance = √(45^2 + 30^2)
Total Distance = √(2025 + 900)
Total Distance = √2925
Total Distance ≈ 54.03 meters
Therefore, Rana is approximately 54.03 meters away from his starting point.
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Rana walks 20 m straight in north direction and 20 m to the right. Then every turning to his left he walks 5, 25 and 25 metres respectively. How far is he from his starting point now?a)5 mb)20 mc)25 md)30 mCorrect answer is option 'A'. Can you explain this answer?
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