Class 10 Exam > Class 10 Questions > Renu walks 9 kms towards East and then 12 kms...
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Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?
- a)15 kms
- b)6 kms
- c)7 kms
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Renu walks 9 kms towards East and then 12 kms towards the South. How f...
AC2 = 92 + 122 = 81 + 144 = 225
∴ AC = 15 kms
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Renu walks 9 kms towards East and then 12 kms towards the South. How f...
Understanding Renu's Movement
Renu's journey can be visualized on a coordinate plane, which helps in determining her distance from the starting point.
Movement Breakdown
- Renu walks 9 kms East: This means she moves positively along the x-axis.
- Then she walks 12 kms South: This means she moves negatively along the y-axis.
Visual Representation
- Starting Point: (0, 0)
- After walking East: (9, 0)
- After walking South: (9, -12)
Calculating the Distance
To find out how far Renu is from her starting point (0, 0) after her movements, we can apply the Pythagorean theorem:
- Distance Formula: Distance = √(Δx² + Δy²)
Where:
- Δx = 9 (the distance moved east)
- Δy = 12 (the distance moved south)
Thus, the calculation becomes:
- Distance = √(9² + 12²)
- Distance = √(81 + 144)
- Distance = √(225)
- Distance = 15 kms
Conclusion
Renu is 15 kms away from her starting point after completing her movements. Hence, the correct answer is option 'A'.
Renu's journey can be visualized on a coordinate plane, which helps in determining her distance from the starting point.
Movement Breakdown
- Renu walks 9 kms East: This means she moves positively along the x-axis.
- Then she walks 12 kms South: This means she moves negatively along the y-axis.
Visual Representation
- Starting Point: (0, 0)
- After walking East: (9, 0)
- After walking South: (9, -12)
Calculating the Distance
To find out how far Renu is from her starting point (0, 0) after her movements, we can apply the Pythagorean theorem:
- Distance Formula: Distance = √(Δx² + Δy²)
Where:
- Δx = 9 (the distance moved east)
- Δy = 12 (the distance moved south)
Thus, the calculation becomes:
- Distance = √(9² + 12²)
- Distance = √(81 + 144)
- Distance = √(225)
- Distance = 15 kms
Conclusion
Renu is 15 kms away from her starting point after completing her movements. Hence, the correct answer is option 'A'.
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Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Renu walks 9 kms towards East and then 12 kms towards the South. How far is she from starting point?a)15 kmsb)6 kmsc)7 kmsd)None of theseCorrect answer is option 'A'. Can you explain this answer?.
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