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The Slope Correction is

By BYJU'S Exam Prep

Updated on: September 25th, 2023

For a length of 60m along a gradient of 1 in 20, the slope correction is: 

  1. 7.5 m
  2. 7.5 cm
  3. 0.75 cm
  4. 5.75 cm

Answer: 2. 7.5 cm

Slope correction is 7.5 cm

Solution:

Given : Length = 60 m, gradient = 1 in 20 

Gradient = h/L

tanθ=1/20=h/60

⇒ h=3 m

We know the slope correction is given by 

Slope correction = h2/2L

Hence,

C32/60=0.075 m=7.5 cm (negative)

Correction due to slope will always be negative because slope distance is greater than the corresponding horizontal distance.

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