Question

If the intercept on a vertical staff is observed as 0.5 m from a tacheometer, the horizontal distance between the tacheometer and the staff station is (assume K = 100, C = 0):

• A. 5 m
• B. 25 m
• C. 75 m
• D. 50 m

Hint:

Tacheometric rule: Distance = K × staff intercept (s)

Answer 1

The Correct Option is D

To determine the horizontal distance between the tacheometer and the staff station, we use the tacheometric formula, which is given by:

\(D = K \cdot s + C\)

where:

• \(D\) is the horizontal distance.
• \(K\) is the multiplying constant of the instrument (here \(K = 100\)).
• \(s\) is the intercept observed on the staff (here \(s = 0.5\) m).
• \(C\) is the additive constant (here \(C = 0\)).

Substitute the given values into the formula:

\(D = 100 \cdot 0.5 + 0\)

\(D = 50\) m

Thus, the horizontal distance between the tacheometer and the staff station is 50 m.