2.2. Long Questions

Try these first

1. 1.

   What is the formula for the Trapezoidal Rule?

   Hint

   It involves bases and height.

2. 2.

   Define tacheometry in surveying.

   Hint

   It's faster and useful for heights.

3. 3.

   What does the Trapezoidal Rule estimate?

   • Area
   • Volume
   • Distance

   Hint

   Think about its primary application.

4. 4.

   True or False: Simpson's Rule is less accurate than the Trapezoidal Rule.

   • True
   • False

   Hint

   Consider how each rule works.

5. 5.

   Using a set of offsets, apply both the Trapezoidal Rule and Simpson’s Rule to determine the area under an irregular curve. Compare results.

   Hint

   Check how many segments you are using for each rule.

6. 6.

   Design a surveying plan using tacheometry to measure an inaccessible mountain top. Explain your calculations.

   Hint

   Use the K and C constants effectively.