Q1) Balance the following interior angles (angles to the right) of a five- sided closed polygon traverse. If the azimuth of side AB is fixed at 74° 31'17" calculate the azimuth of the remaining sides A= 105° 13'14", B = 92° 36°06", C=67° 15°22", D=217° 24'30" and E= 57° 30'38" (Note line BC bears NW) If the corrected departure for line AB 2079.1, corrected latitude= 575.764 and the coordinate of point A, X= 20000, Y= 15000. Find the coordinate of point B and length of line AB

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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**Educational Content: Surveying and Geomatics**

**Q1: Azimuth Calculation of a Polygon Traverse**

- **Problem Statement:** Balance the interior angles of a five-sided closed polygon traverse. Given that the azimuth of side AB is fixed at 74°31'17", calculate the azimuth of the remaining sides.

- **Interior Angles Provided:**
  - A = 105°13'14"
  - B = 92°36'06"
  - C = 67°15'22"
  - D = 217°24'30"
  - E = 57°30'38"
  
  *(Note: Line BC bears NW)*

- **Additional Calculation:** If the corrected departure for line AB is 2079.1, corrected latitude is 575.764, and the coordinates of point A are X = 20000, Y = 15000, find the coordinates of point B and the length of line AB.

---

**Polygon with Irregular Boundary** 

A track of land consists of three straight boundaries (AB, BC, and CD) and a fourth irregular boundary (DA). The measured lengths are:

- AB = 135m
- BC = 191m
- CD = 126m
- BD = 225m

- **Offsets Outside Boundary (DA to Irregular Boundary):**

  | Distance from D (m) | Offset (m) |
  |---------------------|------------|
  | 0                   | 0.0        |
  | 30                  | 3.7        |
  | 60                  | 4.9        |
  | 90                  | 4.2        |
  | 120                 | 2.8        |
  | 150                 | 3.6        |
  | 180                 | 0.0        |

- **Tasks:**
  1. Determine the area of the land track.
  2. Define the vertical control for setting out and mention all vertical techniques.

---

This content provides practical surveying tasks involving calculations of azimuths, area determination under different conditions, and understanding vertical control methods, useful for students and professionals in civil engineering and geospatial disciplines.
Transcribed Image Text:**Educational Content: Surveying and Geomatics** **Q1: Azimuth Calculation of a Polygon Traverse** - **Problem Statement:** Balance the interior angles of a five-sided closed polygon traverse. Given that the azimuth of side AB is fixed at 74°31'17", calculate the azimuth of the remaining sides. - **Interior Angles Provided:** - A = 105°13'14" - B = 92°36'06" - C = 67°15'22" - D = 217°24'30" - E = 57°30'38" *(Note: Line BC bears NW)* - **Additional Calculation:** If the corrected departure for line AB is 2079.1, corrected latitude is 575.764, and the coordinates of point A are X = 20000, Y = 15000, find the coordinates of point B and the length of line AB. --- **Polygon with Irregular Boundary** A track of land consists of three straight boundaries (AB, BC, and CD) and a fourth irregular boundary (DA). The measured lengths are: - AB = 135m - BC = 191m - CD = 126m - BD = 225m - **Offsets Outside Boundary (DA to Irregular Boundary):** | Distance from D (m) | Offset (m) | |---------------------|------------| | 0 | 0.0 | | 30 | 3.7 | | 60 | 4.9 | | 90 | 4.2 | | 120 | 2.8 | | 150 | 3.6 | | 180 | 0.0 | - **Tasks:** 1. Determine the area of the land track. 2. Define the vertical control for setting out and mention all vertical techniques. --- This content provides practical surveying tasks involving calculations of azimuths, area determination under different conditions, and understanding vertical control methods, useful for students and professionals in civil engineering and geospatial disciplines.
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