Question

Calculate the check value using the given leveling data:

Station 1:

Backsight (BS): 2.345
Intermediate Sight (IS): 2.33
Foresight (FS): 3.2

Station 2:

Backsight (BS): 3.3
Intermediate Sights (IS): 2.3 and 2.3
Foresight (FS): 3.3

What is the correct check value for the leveling data?

A. -0.655
B. -0.755
C. -0.855
D. -0.955

Answer 1

The check value for the leveling data is calculated as the sum of backsights minus the sum of foresights, resulting in a value of C)-0.855.

Step-by-step explanation:

To calculate the check value of the leveling data, you must follow the leveling circuit's principle: the sum of backsights (BS) minus the sum of foresights (FS) should be equal to the change in elevation. The intermediate sights (IS) do not directly affect this check because they only help establish elevations between the backsight and the foresight points.

Here’s the step-by-step calculation for the check value:

• Sum of Backsights (BS): 2.345 (Station 1) + 3.3 (Station 2) = 5.645
• Sum of Foresights (FS): 3.2 (Station 1) + 3.3 (Station 2) = 6.5

Check Value = Sum of BS - Sum of FS = 5.645 - 6.5 = -0.855.

Therefore, the correct check value for the leveling data is -0.855.