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Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance between her starting point and the present position?
- a)10
- b)24
- c)28
- d)38
Correct answer is option 'B'. Can you explain this answer?
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Namita walks 14 metres towards west, then turns to her right and walks...
Understanding Namita's Movement
Namita's journey can be visualized step by step:
1. Starting Point: Let's consider her initial position as point O.
2. Movement West:
- Namita walks 14 metres towards the west.
- New position: Point A (14 metres west of O).
3. Turning Right:
- She turns right (now facing north) and walks 14 metres.
- New position: Point B (14 metres north of A).
4. Turning Left:
- Next, she turns left (now facing west) and walks 10 metres.
- New position: Point C (10 metres west of B).
5. Final Turn:
- Finally, she turns left again (now facing south) and walks 14 metres.
- New position: Point D (14 metres south of C).
Visualizing the Final Position
- To summarize the movements:
- From O to A: 14 metres west.
- From A to B: 14 metres north.
- From B to C: 10 metres west.
- From C to D: 14 metres south.
Calculating the Shortest Distance
- Now we need to find the shortest distance from the starting point O to the final position D.
- Coordinates:
- O = (0, 0)
- A = (-14, 0)
- B = (-14, 14)
- C = (-24, 14)
- D = (-24, 0)
- Distance Calculation:
- The shortest distance is the straight line between O and D.
- Using the distance formula:
- Distance = |x1 - x2| + |y1 - y2| = |0 - (-24)| + |0 - 0| = 24 metres.
Thus, the shortest distance between her starting point and her present position is 24 metres, which corresponds to option B.
Namita's journey can be visualized step by step:
1. Starting Point: Let's consider her initial position as point O.
2. Movement West:
- Namita walks 14 metres towards the west.
- New position: Point A (14 metres west of O).
3. Turning Right:
- She turns right (now facing north) and walks 14 metres.
- New position: Point B (14 metres north of A).
4. Turning Left:
- Next, she turns left (now facing west) and walks 10 metres.
- New position: Point C (10 metres west of B).
5. Final Turn:
- Finally, she turns left again (now facing south) and walks 14 metres.
- New position: Point D (14 metres south of C).
Visualizing the Final Position
- To summarize the movements:
- From O to A: 14 metres west.
- From A to B: 14 metres north.
- From B to C: 10 metres west.
- From C to D: 14 metres south.
Calculating the Shortest Distance
- Now we need to find the shortest distance from the starting point O to the final position D.
- Coordinates:
- O = (0, 0)
- A = (-14, 0)
- B = (-14, 14)
- C = (-24, 14)
- D = (-24, 0)
- Distance Calculation:
- The shortest distance is the straight line between O and D.
- Using the distance formula:
- Distance = |x1 - x2| + |y1 - y2| = |0 - (-24)| + |0 - 0| = 24 metres.
Thus, the shortest distance between her starting point and her present position is 24 metres, which corresponds to option B.
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Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance between her starting point and the present position? a)10b)24c)28d)38Correct answer is option 'B'. Can you explain this answer?
Question Description
Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance between her starting point and the present position? a)10b)24c)28d)38Correct answer is option 'B'. Can you explain this answer? for Class 4 2024 is part of Class 4 preparation. The Question and answers have been prepared according to the Class 4 exam syllabus. Information about Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance between her starting point and the present position? a)10b)24c)28d)38Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 4 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Namita walks 14 metres towards west, then turns to her right and walks 14 metres and then turns to her left and walks 10 metres. Again turning to her left she walks 14 metres. What is the shortest distance between her starting point and the present position? a)10b)24c)28d)38Correct answer is option 'B'. Can you explain this answer?.
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