Question
Download Solution PDFThe true length of a line is known to be 200 m. When measured with a 20 m tape, the length is 200.80 m. The correct length of the 20 m tape is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
The true length of the line is given by -
\(L = \frac{{l'}}{l} \times L' \) ...(1)
Here,
L - True length of the line
l - Actual/true length of the chain
L' - Measured length of the line
l' - Corrected length of the chain
Calculation:
Given,
L = 200 m
l = 20 m
L' = 200.8 m
From (1)
\(L = \frac{{l'}}{l} \times L' \)
\(200 = \frac{{l'}}{{20}} \times 200.8\)
⇒ l' = 19.92 m
Hence, Corrected length, l' = 19.92 m
Last updated on Mar 26, 2025
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