1.7. Example 1.25: Gradient Calculation between Points

Try these first

1. 1.

   What instrument is used to measure horizontal and vertical distances in surveying?

   Hint

   It's a surveying tool that combines flexibilities in measuring.

2. 2.

   What does the term 'gradient' refer to?

   Hint

   Think about the steepness of a hill.

3. 3.

   What is the formula to calculate horizontal distance using a tacheometer?

   • A) D = K * S * sin²θ
   • B) D = K * S * cos²θ + C * sinθ
   • C) D = V / gradient

   Hint

   Recall the role of angles in the formula.

4. 4.

   True or False: The gradient is expressed as a simple ratio of vertical change to horizontal distance.

   • True
   • False

   Hint

   Consider how steep a hill can be.

5. 5.

   Given vertical angle readings and stadia distances, calculate the exact position and gradient between two stadium sections using a tacheometer.

   Hint

   Ensure stadia readings are taken consistently to minimize errors.

6. 6.

   Analyze and demonstrate how measurement errors in tacheometric readings affect overall gradient calculations in a construction project.

   Hint

   Think about how misreading an angle alters the slope calculation.