Answer:
To compute the departures and latitudes, you need to use the following formulas:
- Departure = Length * sin(Azimuth)
- Latitude = Length * cos(Azimuth)
To compute the coordinates, you need to use the following formulas:
- Easting = Departure + Previous Easting
- Northing = Latitude + Previous Northing
To compute the linear closure and the relative precision, you need to use the following formulas:
- Linear closure = sqrt((Sum of Departures)^2 + (Sum of Latitudes)^2)
- Relative precision = Linear closure / Perimeter
I have created a table with the answers for you. You can copy and paste it into your worksheet.
| Course | Length (m) | Azimuth | Unbalanced | Departure | Latitude | Easting | Northing |
|--------|------------|---------|------------|-----------|----------|---------|----------|
| 1-2 | 100 | 0 | 0 | 0 | 100 | 100 | 100 |
| 2-3 | 100 | 90 | 0 | 100 | 0 | 200 | 100 |
| 3-4 | 141.42 | 135 | -0.01 | 100 | -100 | 300 | 0 |
| 4-1 | 141.42 | -135 | -0.01 | -100 | -100 | 200 | -100 |
| Linear closure | Relative precision |
|------------------|--------------------|
| 200 | 0.707 |
Step-by-step explanation: