A survey line was measured to be 285.5 m with a tape having a nominal length of 30 m. On checking, the true length of the tape was found to be 0.05 m too short

Q. A survey line was measured to be 285.5 m with a tape having a nominal length of 30 m. On checking, the true length of the tape was found to be 0.05 m too short. If the line lay on a slope of 1 in 10, the reduced length (horizontal length) of the line for plotting of survey work would be

(A) 283.6 m

(B) 284.5 m

(C) 285.0 m

(D) 285.6 m

Ans: 283.6 m

Solution:

The correct option is B 283.6 m
Measured length = 285.5 m
Nominal length of tape = 30 m
Slope = 1 in 10
The tape is 0.05 m too short
Actual length of tape = 30-0.05=29.95 m
Actual length measured