2.3. Unsolved Examples

Try these first

1. 1.

   What is the Trapezoidal Rule?

   Hint

   Think about shapes.

2. 2.

   Name one application of Tacheometry.

   Hint

   It's used frequently in surveying.

3. 3.

   What is the main purpose of the Trapezoidal Rule?

   • To calculate distance
   • To estimate area
   • To measure angles

   Hint

   Think about shapes and their dimensions.

4. 4.

   Simpson’s Rule is generally more accurate than the Trapezoidal Rule. True or False?

   • True
   • False

   Hint

   Reflect on the differences in methods.

5. 5.

   Using the offsets from a chain line, calculate the area between the edges with an irregular line using both Trapezoidal and Simpson’s methods for a more complex dataset.

   Hint

   Collect all offset readings accurately to ensure your results are reliable.

6. 6.

   Given various tacheometric readings and a known height, derive the horizontal distances and reverse calculate the reduced level at the end point.

   Hint

   Recheck your calculated distances to validate your tacheometric readings.