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A 30 m tape w...

Question

A 30 m tape was tested before a survey and found to have a length of 29.93 m. If the length of a line measured with this tape is 270 m, find the true length of the line.

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Solution

True length of chain, L = 30 m
Incorrect chain Length, L' = 29.93 mm

Measured length of survey line $l^{'} = 270 m$

$T r u e l e n g t h o f l i n e = M e a s u r e d l e n g t h \times \frac{L^{'}}{L} = \frac{270 \times 29.93}{30} = 269.37 m$

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