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The table you've provided lists distances and bearings for several courses in a field survey. To solve the problem based on the **Compass Rule** and **Transit Rule**, the general process involves adjusting the survey traverse data, ensuring the closure of the loop in both directions, i.e., latitude (north-south) and departure (east-west). Here’s how to approach it:

### Steps for Adjustment Using Compass Rule:
1. **Calculate Latitude and Departure for Each Course**:
   Use the following formulas for each course:
   - \( \text{Latitude} = \text{Distance} \times \cos(\text{bearing angle}) \)
   - \( \text{Departure} = \text{Distance} \times \sin(\text{bearing angle}) \)

2. **Sum Latitudes and Departures**:
   Sum up all calculated latitudes and departures to find any misclosures. The misclosure is the total error in the survey due to inaccuracies.

3. **Apply Compass Rule for Adjustment**:
   The Compass Rule states that corrections are distributed proportionally to the lengths of the lines.
   - Latitude correction for each line: \( \frac{\text{total misclosure in latitude}}{\text{total length}} \times \text{line length} \)
   - Departure correction for each line: \( \frac{\text{total misclosure in departure}}{\text{total length}} \times \text{line length} \)

4. **Corrected Latitudes and Departures**:
   Apply the calculated corrections to the latitudes and departures of each line.

5. **Recalculate Bearings and Distances**:
   Once the corrected latitudes and departures are known, recalculate the bearings and distances if necessary to ensure the traverse is adjusted properly.

Would you like to calculate the latitudes, departures, and corrections for this dataset?

Here are some relative questions to think about:
1. How is the Compass Rule different from the Bowditch Rule?
2. What is the importance of closing a survey traverse?
3. How are bearing angles converted to their trigonometric equivalents?
4. How do you handle a significant misclosure in survey data?
5. What is the process of applying the Transit Rule in survey adjustments?

**Tip**: When working with bearings, make sure to convert the angles to decimal degrees before applying trigonometric functions to avoid errors.

Students will create a detailed solution and process flow by applying the Compass Rule and Transit Rule to adjust field traverse data in surveying.

Explore how to adjust field traverse data using the Compass Rule and Transit Rule in surveying. This detailed guide includes calculations for latitudes and departures, error adjustment techniques, and a step-by-step process flow. Ideal for college-level surveying and civil engineering courses.

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