Class 10 Exam > Class 10 Questions > Kunal walks 10 km towards North. From there, ...
Start Learning for Free
Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?
- a)5 km west
- b)7 km west
- c)7 km east
- d)5 km north-east
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Kunal walks 10 km towards North. From there, he walks 6 km towards Sou...
Given information:
Kunal walks 10 km towards North.
From there, he walks 6 km towards South.
Then, he walks 3 km towards East.
To find:
The distance and direction of Kunal from his starting point.
Solution:
Let us assume that the starting point of Kunal is O.
First, Kunal walks 10 km towards North. So, he reaches the point A which is 10 km away from O towards North.
Next, he walks 6 km towards South from point A. This means he moves 6 km in the opposite direction of North. So, Kunal is now at the point B which is 4 km away from O towards North (10 km - 6 km).
Finally, he walks 3 km towards East from point B. This means he moves 3 km to the right of the North direction. So, Kunal is now at the point C which is 3 km to the right of point B.
We can now use Pythagoras theorem to find the distance of Kunal from his starting point O.
In right-angled triangle OBC,
OC² = OB² + BC²
OC² = (4 km)² + (3 km)²
OC² = 16 km² + 9 km²
OC² = 25 km²
OC = 5 km
So, the distance of Kunal from his starting point O is 5 km.
To find the direction, we can use trigonometry.
tan θ = BC / OB
tan θ = 3 km / 4 km
θ = tan⁻¹ (3/4)
θ = 36.87°
So, Kunal is 5 km away from his starting point O towards the North-East direction.
Therefore, the correct option is (d) 5 km North-East.
Kunal walks 10 km towards North.
From there, he walks 6 km towards South.
Then, he walks 3 km towards East.
To find:
The distance and direction of Kunal from his starting point.
Solution:
Let us assume that the starting point of Kunal is O.
First, Kunal walks 10 km towards North. So, he reaches the point A which is 10 km away from O towards North.
Next, he walks 6 km towards South from point A. This means he moves 6 km in the opposite direction of North. So, Kunal is now at the point B which is 4 km away from O towards North (10 km - 6 km).
Finally, he walks 3 km towards East from point B. This means he moves 3 km to the right of the North direction. So, Kunal is now at the point C which is 3 km to the right of point B.
We can now use Pythagoras theorem to find the distance of Kunal from his starting point O.
In right-angled triangle OBC,
OC² = OB² + BC²
OC² = (4 km)² + (3 km)²
OC² = 16 km² + 9 km²
OC² = 25 km²
OC = 5 km
So, the distance of Kunal from his starting point O is 5 km.
To find the direction, we can use trigonometry.
tan θ = BC / OB
tan θ = 3 km / 4 km
θ = tan⁻¹ (3/4)
θ = 36.87°
So, Kunal is 5 km away from his starting point O towards the North-East direction.
Therefore, the correct option is (d) 5 km North-East.
Free Test
FREE
| Start Free Test |
Community Answer
Kunal walks 10 km towards North. From there, he walks 6 km towards Sou...
Attention Class 10 Students!
To make sure you are not studying endlessly, EduRev has designed Class 10 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 10.
|
Explore Courses for Class 10 exam
|
|
Similar Class 10 Doubts
Top Courses for Class 10View all
Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer?
Question Description
Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-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 Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-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 Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer?.
Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-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 Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-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 Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.
Here you can find the meaning of Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Kunal walks 10 km towards North. From there, he walks 6 km towards South. Then, he walks 3 km towards East. How far and in which direction is he, with reference to his starting point?a)5 km westb)7 km westc)7 km eastd)5 km north-eastCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 10 tests.
|
|
Explore Courses for Class 10 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup