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GATE 2019 CE (CE1) – Question 45

Geomatics Engineering · Distance and angle measurement, levelling, traversing, triangulation, total station · 2 marks · Multiple choice

A survey line measures 285.5 m using a nominal 30 m tape, later found to be 0.05 m too short. The line lies on a slope of 1 in 10. Find the reduced horizontal length for plotting.

  1. 283.6 m
  2. 284.5 m
  3. 285.0 m
  4. 285.6 m

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Correct answer: (A) 283.6 m

Explanation

Actual tape length is 29.95 m. Corrected slope length is $285.5(29.95/30)=285.02417$ m. For rise/run = 1/10, horizontal length is $285.02417/\sqrt{1+0.1^2}=283.60965$ m: **283.6 m, A**.