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Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?
- a)5 kilometres, west direction
- b)5 kilometres, North-East Direction
- c)7 kilometres, East Direction
- d)7 kilometres, West Direction
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Kishenkant walks 10 kilometres towards North. From there, he walks 6 ...
Given Information:
- Kishenkant walks 10 kilometres towards North.
- From there, he walks 6 kilometres towards south.
- Then, he walks 3 kilometres towards east.
To Find:
- How far and in which direction is he with reference to his starting point?
Solution:
Step 1: Visualize the movements of Kishenkant
- Kishenkant starts at a point and walks 10 kilometres towards the North.
- From there, he walks 6 kilometres towards the South.
- Then, he walks 3 kilometres towards the East.
Step 2: Analyze the movements
- Kishenkant walks 10 kilometres towards the North.
- This means he moves 10 kilometres directly above his starting point.
- Then, he walks 6 kilometres towards the South.
- This means he moves 6 kilometres directly below his current position.
- Finally, he walks 3 kilometres towards the East.
- This means he moves 3 kilometres to the right of his current position.
Step 3: Calculate the final position
- From the above analysis, we can see that Kishenkant has moved 10 kilometres up and 6 kilometres down. The net displacement in the North direction is 10 - 6 = 4 kilometres.
- Additionally, he has moved 3 kilometres to the right in the East direction.
Step 4: Determine the distance and direction
- The distance is calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- In this case, the hypotenuse represents the net displacement of Kishenkant, which is the distance from his starting point.
- The two sides are the North and East displacements, which are 4 kilometres and 3 kilometres respectively.
- Using the Pythagorean theorem, the distance is √(4^2 + 3^2) = √(16 + 9) = √25 = 5 kilometres.
- The direction can be determined by identifying the angle between the net displacement vector and the North direction.
- The angle can be calculated using the tangent function, which is the ratio of the opposite side (East displacement) to the adjacent side (North displacement).
- The angle is tan^(-1)(3/4) = 36.87 degrees.
- Therefore, the direction is North-East.
Step 5: Final answer
- Kishenkant is 5 kilometres away from his starting point in the North-East direction.
- Kishenkant walks 10 kilometres towards North.
- From there, he walks 6 kilometres towards south.
- Then, he walks 3 kilometres towards east.
To Find:
- How far and in which direction is he with reference to his starting point?
Solution:
Step 1: Visualize the movements of Kishenkant
- Kishenkant starts at a point and walks 10 kilometres towards the North.
- From there, he walks 6 kilometres towards the South.
- Then, he walks 3 kilometres towards the East.
Step 2: Analyze the movements
- Kishenkant walks 10 kilometres towards the North.
- This means he moves 10 kilometres directly above his starting point.
- Then, he walks 6 kilometres towards the South.
- This means he moves 6 kilometres directly below his current position.
- Finally, he walks 3 kilometres towards the East.
- This means he moves 3 kilometres to the right of his current position.
Step 3: Calculate the final position
- From the above analysis, we can see that Kishenkant has moved 10 kilometres up and 6 kilometres down. The net displacement in the North direction is 10 - 6 = 4 kilometres.
- Additionally, he has moved 3 kilometres to the right in the East direction.
Step 4: Determine the distance and direction
- The distance is calculated using the Pythagorean theorem, which states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
- In this case, the hypotenuse represents the net displacement of Kishenkant, which is the distance from his starting point.
- The two sides are the North and East displacements, which are 4 kilometres and 3 kilometres respectively.
- Using the Pythagorean theorem, the distance is √(4^2 + 3^2) = √(16 + 9) = √25 = 5 kilometres.
- The direction can be determined by identifying the angle between the net displacement vector and the North direction.
- The angle can be calculated using the tangent function, which is the ratio of the opposite side (East displacement) to the adjacent side (North displacement).
- The angle is tan^(-1)(3/4) = 36.87 degrees.
- Therefore, the direction is North-East.
Step 5: Final answer
- Kishenkant is 5 kilometres away from his starting point in the North-East direction.
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Community Answer
Kishenkant walks 10 kilometres towards North. From there, he walks 6 ...
The movements of Kishenkant are as shown in figure
A to B, B to C and C to D
AC = (AB - BC) = (10 - 6) km = 4 km
Clearly, D is to the North-East of A .
Kishenkant's distance from starting point A
So, Kishenkant is 5 km to the North-East of his starting point
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Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?a)5 kilometres, west directionb)5 kilometres, North-East Directionc)7 kilometres, East Directiond)7 kilometres, West DirectionCorrect answer is option 'B'. Can you explain this answer?
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Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?a)5 kilometres, west directionb)5 kilometres, North-East Directionc)7 kilometres, East Directiond)7 kilometres, West DirectionCorrect answer is option 'B'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?a)5 kilometres, west directionb)5 kilometres, North-East Directionc)7 kilometres, East Directiond)7 kilometres, West DirectionCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Kishenkant walks 10 kilometres towards North. From there, he walks 6 kilometres towards south. Then, he walks 3 kilometres towards east. How far and in which direction is he with reference to his starting point?a)5 kilometres, west directionb)5 kilometres, North-East Directionc)7 kilometres, East Directiond)7 kilometres, West DirectionCorrect answer is option 'B'. Can you explain this answer?.
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