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John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?
- a)7 km, East
- b)24 km, East
- c)10 km, East
- d)17 km, East
Correct answer is option 'D'. Can you explain this answer?
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John leaves his house and walks 12 km towards North. He turns right an...
Distance = 12 + 5 = 17 km in east direction
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John leaves his house and walks 12 km towards North. He turns right an...
Solution:
To solve this problem, let's break down the given information step by step:
1. John leaves his house and walks 12 km towards North.
2. He turns right and walks another 12 km.
3. He turns right again and walks 12 km more.
4. Finally, he turns left and walks 5 km.
Now, let's visualize these steps on a diagram:
```
N
|
|
|
W ----- ----- E
|
|
|
S
```
From the diagram, we can see that John initially walks 12 km towards the North, which takes him to point A. Then, he turns right and walks another 12 km, taking him to point B. After that, he turns right again and walks 12 km more, reaching point C. Finally, he turns left and walks 5 km, which brings him to point D.
To find the distance between John's current location (point D) and his home (the starting point), we can calculate the horizontal and vertical distances separately and then use the Pythagorean theorem to find the hypotenuse.
Horizontal Distance:
Since John walked 12 km to the North and then turned right twice, he is now facing East. Therefore, the horizontal distance between his current location (point D) and his home is 12 km.
Vertical Distance:
John initially walked 12 km towards the North. Then, he turned right twice and walked a total of 12 km in the East direction. Finally, he turned left and walked 5 km towards the North. Hence, the total vertical distance covered by John is 12 km + 5 km = 17 km.
Using the Pythagorean theorem, we can calculate the distance between points D and the starting point (home):
Distance = √(horizontal distance)^2 + (vertical distance)^2
= √(12 km)^2 + (17 km)^2
= √(144 km^2 + 289 km^2)
= √433 km^2
≈ 20.8 km
Therefore, John is approximately 20.8 km away from his home. However, since the given options only offer whole numbers, the closest option is 17 km (option D). Additionally, since John walked towards the East, the correct answer is 17 km, East (option D).
To solve this problem, let's break down the given information step by step:
1. John leaves his house and walks 12 km towards North.
2. He turns right and walks another 12 km.
3. He turns right again and walks 12 km more.
4. Finally, he turns left and walks 5 km.
Now, let's visualize these steps on a diagram:
```
N
|
|
|
W ----- ----- E
|
|
|
S
```
From the diagram, we can see that John initially walks 12 km towards the North, which takes him to point A. Then, he turns right and walks another 12 km, taking him to point B. After that, he turns right again and walks 12 km more, reaching point C. Finally, he turns left and walks 5 km, which brings him to point D.
To find the distance between John's current location (point D) and his home (the starting point), we can calculate the horizontal and vertical distances separately and then use the Pythagorean theorem to find the hypotenuse.
Horizontal Distance:
Since John walked 12 km to the North and then turned right twice, he is now facing East. Therefore, the horizontal distance between his current location (point D) and his home is 12 km.
Vertical Distance:
John initially walked 12 km towards the North. Then, he turned right twice and walked a total of 12 km in the East direction. Finally, he turned left and walked 5 km towards the North. Hence, the total vertical distance covered by John is 12 km + 5 km = 17 km.
Using the Pythagorean theorem, we can calculate the distance between points D and the starting point (home):
Distance = √(horizontal distance)^2 + (vertical distance)^2
= √(12 km)^2 + (17 km)^2
= √(144 km^2 + 289 km^2)
= √433 km^2
≈ 20.8 km
Therefore, John is approximately 20.8 km away from his home. However, since the given options only offer whole numbers, the closest option is 17 km (option D). Additionally, since John walked towards the East, the correct answer is 17 km, East (option D).
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John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer?
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John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer?.
John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer?.
Solutions for John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of John leaves his house and walks 12 km towards North. He turns right and walks another 12 km. He turns right again walks 12 km more and turns left to walk 5 km. How far is he from his home and in which direction?a)7 km, Eastb)24 km, Eastc)10 km, Eastd)17 km, EastCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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