SSC JE Civil Engineering 29-Oct-2020 Shift 1 Paper

Question : 186 of 200

Marks: +1, -0

The observed staff reading is 2.5 m, on a staff which was improperly held at a station such that its slope was 20 : 1. The correct staff reading will be:

${51}/{√{399}}\m$
2.8 m
${20}/{7}\m$
${50}/{√{401}}\m$

Validate

Solution:

AB is the True position of staff reading
BC is the wrong position of staff Reading.
Given:
BC = 2.5 m
Correct staff reading, AB

= (2.5 \cos \θ)

D B=√{(20)^{2}+(1)^{2}}=√{401}

\cos \θ={20}/{√{401}}

Correct staff reading,

\AB=2.5 × {20}/{√{401}}

\AB={50}/{√{401}}

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