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A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point?
- a)5 metres
- b)10 metres
- c)15 metres
- d)20 metres
Correct answer is option 'A'. Can you explain this answer?
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A walks 10 metres in front and 10 metres to the right. Then every time...
Given information:
A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively.
Analysis:
To find out how far A is from his starting point, we need to calculate the net displacement in terms of distance and direction.
Solution:
Let's break down A's movements step by step:
1. A walks 10 metres in front and 10 metres to the right:
- This means A moves 10 metres in the north direction and 10 metres in the east direction.
- A's position now is 10 metres north and 10 metres east from the starting point.
2. A turns left and walks 5 metres:
- A's direction is now west.
- A walks 5 metres towards the west.
- A's position now is 10 metres north, 10 metres east, and 5 metres west from the starting point.
3. A turns left again and walks 15 metres:
- A's direction is now south.
- A walks 15 metres towards the south.
- A's position now is 10 metres north, 10 metres east, 5 metres west, and 15 metres south from the starting point.
4. A turns left for the last time and walks 15 metres:
- A's direction is now east.
- A walks 15 metres towards the east.
- A's position now is 10 metres north, 10 metres east, 5 metres west, 15 metres south, and 15 metres east from the starting point.
Calculating the net displacement:
To find out how far A is from his starting point, we need to calculate the net displacement using the Pythagorean theorem.
Using the Pythagorean theorem, we can calculate the distance as follows:
- Distance = √(north-south)^2 + (east-west)^2
Calculating the distance:
- Distance = √(10-15)^2 + (10-5)^2
- Distance = √(-5)^2 + (5)^2
- Distance = √25 + 25
- Distance = √50
- Distance = 5√2
So, A is 5√2 metres away from his starting point.
Conclusion:
Therefore, the correct answer is option A) 5 metres. A is 5√2 metres away from his starting point.
A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively.
Analysis:
To find out how far A is from his starting point, we need to calculate the net displacement in terms of distance and direction.
Solution:
Let's break down A's movements step by step:
1. A walks 10 metres in front and 10 metres to the right:
- This means A moves 10 metres in the north direction and 10 metres in the east direction.
- A's position now is 10 metres north and 10 metres east from the starting point.
2. A turns left and walks 5 metres:
- A's direction is now west.
- A walks 5 metres towards the west.
- A's position now is 10 metres north, 10 metres east, and 5 metres west from the starting point.
3. A turns left again and walks 15 metres:
- A's direction is now south.
- A walks 15 metres towards the south.
- A's position now is 10 metres north, 10 metres east, 5 metres west, and 15 metres south from the starting point.
4. A turns left for the last time and walks 15 metres:
- A's direction is now east.
- A walks 15 metres towards the east.
- A's position now is 10 metres north, 10 metres east, 5 metres west, 15 metres south, and 15 metres east from the starting point.
Calculating the net displacement:
To find out how far A is from his starting point, we need to calculate the net displacement using the Pythagorean theorem.
Using the Pythagorean theorem, we can calculate the distance as follows:
- Distance = √(north-south)^2 + (east-west)^2
Calculating the distance:
- Distance = √(10-15)^2 + (10-5)^2
- Distance = √(-5)^2 + (5)^2
- Distance = √25 + 25
- Distance = √50
- Distance = 5√2
So, A is 5√2 metres away from his starting point.
Conclusion:
Therefore, the correct answer is option A) 5 metres. A is 5√2 metres away from his starting point.
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A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer?
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A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. 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 A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. 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 A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer?.
A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. 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 A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. 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 A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer?.
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A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15 and 15 metres respectively. How far is he now from his starting point? a)5 metresb)10 metresc)15 metresd)20 metresCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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