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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?
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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.
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Kunal walks 10 km towards North. From there, he walks 6 km towards Sou...
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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?
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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?.
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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
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