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Neha traveled from a point X straight to point Y at a distance of 50 meters. He turned to his right and walks 50 meters more, then again turned right and walks 60 meters. Finally, he turned to the right and walks 50 meters. How far is he from the starting point?
- a)10
- b)20
- c)30
- d)40
Correct answer is option 'A'. Can you explain this answer?
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Neha traveled from a point X straight to point Y at a distance of 50 m...
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Neha traveled from a point X straight to point Y at a distance of 50 m...
To solve this question, we need to visualize Neha's movements and calculate the distance between his final position and the starting point.
Let's break down Neha's movements step by step:
1. Neha travels straight from point X to point Y, covering a distance of 50 meters.
2. Neha turns right and walks 50 meters more.
3. Neha turns right again and walks 60 meters.
4. Neha turns right once more and walks 50 meters.
To calculate the distance between Neha's final position and the starting point, we can use the concept of vectors. We can represent Neha's movements as vectors in a two-dimensional coordinate system.
Let's assume Neha's starting point, X, is at the origin (0,0). We can represent his movements as follows:
1. The vector representing Neha's first movement from X to Y can be represented as (50,0) since he travels straight along the x-axis for 50 meters.
2. After turning right, Neha's second movement can be represented as (0,50) since he now moves along the y-axis for 50 meters.
3. Neha's third movement can be represented as (-60,0) since he turns right again and moves in the opposite direction along the x-axis for 60 meters.
4. Finally, Neha's fourth movement can be represented as (0,-50) since he turns right once more and moves in the opposite direction along the y-axis for 50 meters.
To find the total displacement, we can add up all the vectors representing Neha's movements:
(50,0) + (0,50) + (-60,0) + (0,-50) = (-10,0)
The resulting vector (-10,0) represents Neha's final displacement from the starting point. The x-coordinate of this vector represents the horizontal distance, and the y-coordinate represents the vertical distance.
Since the x-coordinate is -10, Neha is 10 meters to the left of the starting point. Therefore, the distance between Neha's final position and the starting point is 10 meters.
Hence, the correct answer is option A) 10.
Let's break down Neha's movements step by step:
1. Neha travels straight from point X to point Y, covering a distance of 50 meters.
2. Neha turns right and walks 50 meters more.
3. Neha turns right again and walks 60 meters.
4. Neha turns right once more and walks 50 meters.
To calculate the distance between Neha's final position and the starting point, we can use the concept of vectors. We can represent Neha's movements as vectors in a two-dimensional coordinate system.
Let's assume Neha's starting point, X, is at the origin (0,0). We can represent his movements as follows:
1. The vector representing Neha's first movement from X to Y can be represented as (50,0) since he travels straight along the x-axis for 50 meters.
2. After turning right, Neha's second movement can be represented as (0,50) since he now moves along the y-axis for 50 meters.
3. Neha's third movement can be represented as (-60,0) since he turns right again and moves in the opposite direction along the x-axis for 60 meters.
4. Finally, Neha's fourth movement can be represented as (0,-50) since he turns right once more and moves in the opposite direction along the y-axis for 50 meters.
To find the total displacement, we can add up all the vectors representing Neha's movements:
(50,0) + (0,50) + (-60,0) + (0,-50) = (-10,0)
The resulting vector (-10,0) represents Neha's final displacement from the starting point. The x-coordinate of this vector represents the horizontal distance, and the y-coordinate represents the vertical distance.
Since the x-coordinate is -10, Neha is 10 meters to the left of the starting point. Therefore, the distance between Neha's final position and the starting point is 10 meters.
Hence, the correct answer is option A) 10.
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Neha traveled from a point X straight to point Y at a distance of 50 meters. He turned to his right and walks 50 meters more, then again turned right and walks 60 meters. Finally, he turned to the right and walks 50 meters. How far is he from the starting point?a)10b)20c)30d)40Correct answer is option 'A'. Can you explain this answer?
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