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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.

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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:

From the given diagram

 

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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