Question
Download Solution PDFThe length of a line measured with a 30meter chain was found to be 300 meters. After survey, it was observed that the chain is 15 cm too short. Therefore, the true length of the chain is _________
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
\(True\;length\;line = \frac{{l'}}{l} \times measured\;length\\ \)
Where,
l' is corrected length of chain
l is actual length of chain
Calculation:
True length of line (L) = ?
Actual length of chain (l) = 30 m
Measured length of line (L') = 300 m
Corrected length of chain (l') = 29.85 m
So, we know
\(True\;length\;line = \frac{{l'}}{l} \times measured\;length\\ \)
\(\Rightarrow L = \frac{{29.85}}{{30}} \times 300\)
∴ L= 298.5 m
Last updated on Jun 4, 2025
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