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What will be the reduced level of top of power (point Q) given in figure with accessible base and neglecting the effect of curvature and refraction. Reduced level of point 'P' = X, D = horizontal distance. α = angle, h' = height of instrument.

F1 Shraddha Pooja S 28.09.2021 D 24

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HPCL Engineer Civil 11 Aug 2021 Official Paper
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  1. [X - h' + D * tanα + 0.06735*D2]
  2. [X + h' - D * tanα]
  3. [X + h' + D * tanα]
  4. [X + h' + D * tanα + 0.06735*D2]

Answer (Detailed Solution Below)

Option 3 : [X + h' + D * tanα]
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Detailed Solution

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Explanation:

F1 Shraddha Pooja S 28.09.2021 D 24

From the given diagram

 \(Tan\ α = \frac{QQ'}{AQ^{'}}\)

So, QQ' =  AQ' × Tanα  = h × Tanα ........ (1)

RL of point Q = QL of point P + Height of instrument +  QQ'

RL of Q = X + h' + D × Tanα 

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