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Bhawna started from her house and goes towards North-West 4 Km and she again takes a turn towards SouthWest and moves 4 Km. She then goes towards East and moves 4 Km. What is the distance from her house to the final point?
- a)15 Km
- b)10 Km
- c)5 Km
- d)None of these
Correct answer is option 'D'. Can you explain this answer?
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Bhawna started from her house and goes towards North-West 4 Km and she...
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Bhawna started from her house and goes towards North-West 4 Km and she...
Distance Calculation:
Bhawna starts from her house and moves in different directions. To find the distance from her house to the final point, we need to calculate the distances covered in each direction and then find the total distance.
Calculating Distance towards North-West:
When Bhawna moves 4 km towards North-West, she is moving in two opposite directions simultaneously - North and West. As both directions are perpendicular to each other, we can use the Pythagorean theorem to find the distance covered.
Using the Pythagorean theorem:
Distance^2 = (North distance)^2 + (West distance)^2
Given that the distance covered towards North-West is 4 km, we can assume that the North and West distances are the same. Therefore,
Distance^2 = (4 km)^2 + (4 km)^2
Distance^2 = 16 km^2 + 16 km^2
Distance^2 = 32 km^2
Distance = √32 km
Distance ≈ 5.657 km
Calculating Distance towards South-West:
After moving 4 km towards North-West, Bhawna takes a turn towards South-West. As she is moving in two opposite directions simultaneously - South and West, we can again use the Pythagorean theorem to find the distance covered.
Using the Pythagorean theorem:
Distance^2 = (South distance)^2 + (West distance)^2
Given that the distance covered towards South-West is 4 km, we can assume that the South and West distances are the same. Therefore,
Distance^2 = (4 km)^2 + (4 km)^2
Distance^2 = 16 km^2 + 16 km^2
Distance^2 = 32 km^2
Distance = √32 km
Distance ≈ 5.657 km
Calculating Distance towards East:
After moving 4 km towards South-West, Bhawna goes towards the East and moves 4 km. As she is moving in a single direction, the distance covered towards the East is 4 km.
Total Distance:
To find the total distance from Bhawna's house to the final point, we need to add up the distances covered in each direction.
Total Distance = Distance towards North-West + Distance towards South-West + Distance towards East
Total Distance ≈ 5.657 km + 5.657 km + 4 km
Total Distance ≈ 15.314 km
Therefore, the correct answer is option 'D' - None of these. The distance from Bhawna's house to the final point is approximately 15.314 km.
Bhawna starts from her house and moves in different directions. To find the distance from her house to the final point, we need to calculate the distances covered in each direction and then find the total distance.
Calculating Distance towards North-West:
When Bhawna moves 4 km towards North-West, she is moving in two opposite directions simultaneously - North and West. As both directions are perpendicular to each other, we can use the Pythagorean theorem to find the distance covered.
Using the Pythagorean theorem:
Distance^2 = (North distance)^2 + (West distance)^2
Given that the distance covered towards North-West is 4 km, we can assume that the North and West distances are the same. Therefore,
Distance^2 = (4 km)^2 + (4 km)^2
Distance^2 = 16 km^2 + 16 km^2
Distance^2 = 32 km^2
Distance = √32 km
Distance ≈ 5.657 km
Calculating Distance towards South-West:
After moving 4 km towards North-West, Bhawna takes a turn towards South-West. As she is moving in two opposite directions simultaneously - South and West, we can again use the Pythagorean theorem to find the distance covered.
Using the Pythagorean theorem:
Distance^2 = (South distance)^2 + (West distance)^2
Given that the distance covered towards South-West is 4 km, we can assume that the South and West distances are the same. Therefore,
Distance^2 = (4 km)^2 + (4 km)^2
Distance^2 = 16 km^2 + 16 km^2
Distance^2 = 32 km^2
Distance = √32 km
Distance ≈ 5.657 km
Calculating Distance towards East:
After moving 4 km towards South-West, Bhawna goes towards the East and moves 4 km. As she is moving in a single direction, the distance covered towards the East is 4 km.
Total Distance:
To find the total distance from Bhawna's house to the final point, we need to add up the distances covered in each direction.
Total Distance = Distance towards North-West + Distance towards South-West + Distance towards East
Total Distance ≈ 5.657 km + 5.657 km + 4 km
Total Distance ≈ 15.314 km
Therefore, the correct answer is option 'D' - None of these. The distance from Bhawna's house to the final point is approximately 15.314 km.
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Bhawna started from her house and goes towards North-West 4 Km and she again takes a turn towards SouthWest and moves 4 Km. She then goes towards East and moves 4 Km. What is the distance from her house to the final point?a)15 Kmb)10 Kmc)5 Kmd)None of theseCorrect answer is option 'D'. Can you explain this answer?
Question Description
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