Tachometric formula for horizontal distance using inclined sights through θ is obtained by multiplying

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UPPSC AE Civil 2013 Official Paper II
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  1. the constants by sin2θ
  2. the constants by cos2 θ
  3. the constants by cos θ
  4. the multiplying constant by cos2 θ and additive constant by cos θ

Answer (Detailed Solution Below)

Option 4 : the multiplying constant by cos2 θ and additive constant by cos θ
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Tachometer: It’s a transit theodolite fitted with a stadia diaphragm which gives both horizontal and vertical control with an accuracy of 1 in 1000.

Horizontal Distance (D) 

Vertical distance (V) 

Where,

k = multiplying constant, c = additive constant, s = staff intercept, and θ = angle of inclination of measurement

For given condition: (θ = 0°),

Assuming analltic lens i.e. k = 100 and c = 0

∴ Tachometric formula for horizontal distance using inclined sights through θ is obtained by multiplying the multiplying constant by cosθ and additive constant by cos θ.

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