![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](https://www.gkseries.com/blog/wp-content/uploads/2023/07/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.jpg)
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
![](https://www.gkseries.com/blog/wp-content/uploads/2023/07/image-198.png)