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Length of a line AB when measured with a 20m chain was 330m. It was later found that the chain was 5cm too long. True length of line AB will be,
  • a)
    330.825 m
  • b)
    330.05 m
  • c)
    329.175 m
  • d)
    329.95 m
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Length of a line AB when measured with a 20m chain was 330m. It was la...
True Length of AB = (faulty length of chain x measured length of AB) / true length of chain
= (20 + 0.05) x 330 / 20
True Length of AB = 330.825 m
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Community Answer
Length of a line AB when measured with a 20m chain was 330m. It was la...
Explanation:
Given data:
- Length of line AB measured with a 20m chain: 330m
- Chain was found to be 5cm too long
Calculation:
- Actual length of chain = 20m - 5cm = 19.95m
- Measured length of line AB = 330m
- Error in measurement = Measured length - Actual length
- Error = 330m - 19.95m = 330m - 0.1995m = 329.8005m
- True length of line AB = Measured length - Error
- True length of line AB = 330m - 0.1995m = 330.8005m
Conclusion:
- The true length of line AB will be 330.825m (option 'A')
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Length of a line AB when measured with a 20m chain was 330m. It was later found that the chain was 5cm too long. True length of line AB will be,a)330.825 mb)330.05 mc)329.175 md)329.95 mCorrect answer is option 'A'. Can you explain this answer?
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