1.6. Example 1.24: Horizontal Distance and RL Calculation with Tacheometer

Try these first

1. 1.

   What is the purpose of a tacheometer?

   Hint

   Think about what a surveyor needs to measure at large distances.

2. 2.

   Define the term 'Reduced Level' (RL).

   Hint

   Consider what a benchmark is in surveying.

3. 3.

   What is the primary function of a tacheometer?

   • To measure only angles
   • To determine distances and angles
   • To calculate areas

   Hint

   Think about what surveyors need when mapping areas.

4. 4.

   True or False: The constant C in tacheometric calculations compensates for the height of the instrument above the ground.

   • True
   • False

   Hint

   Consider how instrument height affects measurements.

5. 5.

   Given a tacheometer with K=100 and C=0, a distance reading with slopes is needed at point A with stadia readings of 3.000m and 2.000m when the angle of elevation is 30 degrees. Calculate horizontal distance and RL if the benchmark is 900m.

   Hint

   Follow steps: Find height difference from readings and apply the formulas to find horizontal distance!

6. 6.

   From two tacheometric observations with different staff readings and angles, derive the overall vertical height drop if the last known RL was 750m. The last observation readings indicate angles of depression and the staff readings being 0.800m and 2.400m.

   Hint

   Remember to consider both angles in your calculations to arrive at the right total distance.