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Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?
- a)5 m, North-west
- b)5 m, North-east
- c)7 km, East
- d)7 m, West
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Milan walks 10m towards North. From there he walks 6m towards south. T...
Starting point = A
End point = D
AD is North-east of starting point.
AD is North-east of starting point.
Most Upvoted Answer
Milan walks 10m towards North. From there he walks 6m towards south. T...
Understanding Milan's Movement
To determine how far and in which direction Milan is from his starting point, let’s break down his movements step by step.
Step 1: Initial Movement North
- Milan walks 10m North from the starting point.
- His position now: (0, 10)
Step 2: Movement South
- Next, he walks 6m South.
- This means he moves down from his previous position:
- Calculation: 10m - 6m = 4m North
- His new position: (0, 4)
Step 3: Movement East
- After that, he walks 3m East.
- This makes his new position: (3, 4)
Calculating Distance from Starting Point
Now, we need to find the straight-line distance from the starting point (0, 0) to his final position (3, 4).
- Using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
- Here, (x1, y1) = (0, 0) and (x2, y2) = (3, 4)
- Substituting the values:
Distance = √[(3 - 0)² + (4 - 0)²]
Distance = √[3² + 4²] = √[9 + 16] = √25 = 5m
Determining Direction
- To find the direction, we note that Milan ends up at (3, 4) which means he is 3m East and 4m North from the starting point.
- The angle from the horizontal (East) can be calculated using the tangent function, but we can see that he is clearly in the North-East direction since both North and East components are positive.
Final Answer
Thus, Milan is 5m, North-east from the starting point. The correct option is B.
To determine how far and in which direction Milan is from his starting point, let’s break down his movements step by step.
Step 1: Initial Movement North
- Milan walks 10m North from the starting point.
- His position now: (0, 10)
Step 2: Movement South
- Next, he walks 6m South.
- This means he moves down from his previous position:
- Calculation: 10m - 6m = 4m North
- His new position: (0, 4)
Step 3: Movement East
- After that, he walks 3m East.
- This makes his new position: (3, 4)
Calculating Distance from Starting Point
Now, we need to find the straight-line distance from the starting point (0, 0) to his final position (3, 4).
- Using the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
- Here, (x1, y1) = (0, 0) and (x2, y2) = (3, 4)
- Substituting the values:
Distance = √[(3 - 0)² + (4 - 0)²]
Distance = √[3² + 4²] = √[9 + 16] = √25 = 5m
Determining Direction
- To find the direction, we note that Milan ends up at (3, 4) which means he is 3m East and 4m North from the starting point.
- The angle from the horizontal (East) can be calculated using the tangent function, but we can see that he is clearly in the North-East direction since both North and East components are positive.
Final Answer
Thus, Milan is 5m, North-east from the starting point. The correct option is B.
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Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer?
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Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer?.
Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer? for Class 8 2024 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 8 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Milan walks 10m towards North. From there he walks 6m towards south. Then he walks 3m East. How far and in which direction is he with reference to the starting point?a)5 m, North-westb)5 m, North-eastc)7 km, Eastd)7 m, WestCorrect answer is option 'B'. Can you explain this answer?.
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