Question

If the intercept on a vertical staff is observed as 0.3 m from a tacheometer, then the horizontal distance between tacheometer and the staff station is

• A. 3.0 m
• B. 30 m
• C. 1.5 m
• D. 15 m

Hint:

In tacheometry, the horizontal distance to a staff is found from the staff intercept using the tacheometric formula.

Answer 1

The Correct Option is B

Concept:
In tacheometry, the horizontal distance to a staff is found from the staff intercept using the tacheometric formula. For a normal instrument the multiplying constant is 100 and the additive constant is small (taken as 0 here).

Step 1:
The horizontal distance for a line of sight that is horizontal is \[ D = K \cdot s + C, \] where \(K = 100\) is the multiplying constant, \(s\) is the staff intercept, and \(C\) is the additive constant (taken as 0).

Step 2:
Substitute \(s = 0.3\) m: \[ D = 100 \times 0.3 = 30 \text{ m}. \]

Answer: Option (2) — 30 m.