The 30 m chain measured the distance between two points as 540 m. Later, it was discovered that the chain was 6 cm too long. What is the true distance between the points?

Q. The 30 m chain measured the distance between two points as 540 m. Later, it was discovered that the chain was 6 cm too long. What is the true distance between the points?

Solution:

True length of the chain,

L = 30m

Error in chain, e = 6cm = 0.06m too long.

Incorrect length of chain,

L’ = L + e = 30 + 0.06 = 30.06m

Measured length

= ML = 540 m

Therefore True length of the line

TL = (L’)/L * ML = 30.06/30 * 540

= 541.08m

True length of the line =541.08m