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**Question 1: A survey line was measured to be 285.5 m with a tape having a nominal length of 30 m. On checking, the time 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 [2019 : 2 Marks, Set-I](a) 285.6 m(b) 284.5 m(c) 283.6 m (d) 285.0 m**

Measured length = 285.5 m

Designated tape length = 30 m

Actual tape length = 30 - 0.05 = 29.95 m

Slope along measurement = 1 in 10.

Actual tape length l' < l (hence negative correction)

Correction per tape length

= 29.95 - 30 = -0.05 m

Total correction=-(1.4275 + 0.4758)

= -1.9033

Correct length = Measured length - Correction

= 285.5 - 1.9033

= 283.596

= 283.6 m

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