The length of line measured with a chain was found to be 250m. Calculate the true length of line if i) The length was measured with 30 m chain and the chain was 10cm too long and ii) The length of chain was 30 m in the beginning and 30.10 m at the end of the work. 

1 Answer

Answer :

Given Data:

L = 30 m

Measured Length = 250 m

Solution:

Case i) The length was measured with 30 m chain and the chain was 10cm too long

L’ = 30 + 0.1 = 30.1 m

Correct Distance = (L’/L) x Measured Length

 = (30.1/30) x 250

 = 250.83 m

Case ii) The length of chain was 30 m in the beginning and 30.10 m at the end of the

work.

Avg. error = (0 + 0.1) /2 =0.05m

L’ = 30 + 0.05 = 30.05 m

Correct Distance = (L’/L) x Measured Length

 = (30.05/30) x 250

 = 250.42 m

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