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A tacheometer is setup at A and the staff held vertical at B with staff intercept 1.5m and the line of sight is horizontal · Calculate the horizontal distance between A and B · Take k = 100, c = 0.?
75 m
150 m
m
None of these
150 m
Given: Staff intercept s = 1.5 m, Multiplying constant k = 100, Additive constant c = 0, Line of sight = Horizontal
Staff intercept s = 1.5 m, Multiplying constant k = 100, Additive constant c = 0, Line of sight = Horizontal
D=k⋅s+c
Identify the Tacheometric Distance Equation
For a horizontal line of sight, the horizontal distance D between the instrument station and the staff station is calculated using the basic tacheometric distance formula.
D=k⋅s+c
Substitute the Given Values
Substitute the multiplying constant k=100, staff intercept s=1.5 m, and additive constant c=0 m into the formula.
D=(100×1.5)+0
Calculate the Horizontal Distance
Perform the multiplication to determine the final horizontal distance D.
D=150 m
B is correct because applying the horizontal distance formula D=ks+c with k=100, s=1.5 m, and c=0 yields D=150 m.
When the line of sight is inclined at an angle θ, the horizontal distance formula modifies to D=kscos2θ+ccosθ, which is frequently asked in GATE and State AE/JE exams.