### Problem StatementConsider a five-sided closed polygon traverse. The azimuth of side \(AB\) is fixed at \(218^\circ 59' 30"\). \(A = 132^\circ 47' 06"\), \(B = 108^\circ 46' 18"\), \(C = 101^\circ 19' 37"\), \(D = 81^\circ 50' 36"\), \(E = 109^\circ 16' 18"\). (Note: line \(BC\) bears \(SE\).) The lengths of the sides (in feet) are as follows: \(AB = 202.74\), \(BC = 283.87\), \(CD = 498.37\), \(DE = 320.33\), and \(EA = 380.78\). The coordinates of station \(A\) are \(X = 20,000.00\) ft and \(Y = 16,000.00\) ft.---### Task**Part A**Use the coordinate method to compute the area enclosed by the traverse above.Express your answer in feet squared to two significant figures. Note: Traverse does not need to be adjusted to determine the correct answer.**Input Box:**```area = _______________ ft²```**Buttons:**- Submit- Request Answer**Additional support:**- Provide Feedback

Consider a five-sided closed polygon traverse. The azimuth of side AB is fixed at 218°59′30". A = 132° 47'06", B = 108° 46'18", C = 107° 19'37", D = 81°50'36", E = 109°16′18". (Note: line BC bears SE.) The lengths of the sides (in feet) are as follows: AB= 202.74, BC = 283.87, CD= 498.37, DE 320.33, and EA = 380.78. The coordinates of station A are X = 20,000.00 ft and Y = 15,000.00 ft. ▼ Part A Use the coordinate method to compute the area enclosed by the traverse above. Express your answer in feet squared to two significant figures. Note: Traverse does not need to be adjusted to determine the correct answer. area = Submit Provide Feedback 15. ΑΣΦ | 11 | vec 3 Request Answer → ? ft²

Consider a five-sided closed polygon traverse. The azimuth of side AB is fixed at 218°59′30". A = 132° 47'06", B = 108° 46'18", C = 107° 19'37", D = 81°50'36", E = 109°16′18". (Note: line BC bears SE.) The lengths of the sides (in feet) are as follows: AB= 202.74, BC = 283.87, CD= 498.37, DE 320.33, and EA = 380.78. The coordinates of station A are X = 20,000.00 ft and Y = 15,000.00 ft. ▼ Part A Use the coordinate method to compute the area enclosed by the traverse above. Express your answer in feet squared to two significant figures. Note: Traverse does not need to be adjusted to determine the correct answer. area = Submit Provide Feedback 15. ΑΣΦ | 11 | vec 3 Request Answer → ? ft²

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Control Survey and Geodetic reductions

Control surveys or survey controls are used to establish reference points as a basis for various construction activities. Vertical and horizontal control points are to be established in a control survey to increase accuracy. After establishing the control points, all other types of surveys such as topographic, right-of-way, aerial mapping, construction layout, boundary surveys, and utility mapping can be worked upon so that control networks can be formed. The place from which the observations are made is called a survey station.

Question

### Problem Statement

Consider a five-sided closed polygon traverse. The azimuth of side \(AB\) is fixed at \(218^\circ 59' 30"\). \(A = 132^\circ 47' 06"\), \(B = 108^\circ 46' 18"\), \(C = 101^\circ 19' 37"\), \(D = 81^\circ 50' 36"\), \(E = 109^\circ 16' 18"\). (Note: line \(BC\) bears \(SE\).) The lengths of the sides (in feet) are as follows: \(AB = 202.74\), \(BC = 283.87\), \(CD = 498.37\), \(DE = 320.33\), and \(EA = 380.78\). The coordinates of station \(A\) are \(X = 20,000.00\) ft and \(Y = 16,000.00\) ft.

---

### Task

**Part A**

Use the coordinate method to compute the area enclosed by the traverse above.

Express your answer in feet squared to two significant figures. Note: Traverse does not need to be adjusted to determine the correct answer.

**Input Box:**
```
area = _______________ ft²
```

**Buttons:**
- Submit
- Request Answer

**Additional support:**
- Provide Feedback

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Consider a five-sided closed polygon traverse. The azimuth of side AB is fixed at 218°59′30″. A = 132°47'06", B = 108°46'18", C = 107°19′37", D = 81°50′36", E = 109°16′18″. (Note: line BC bears SE.) The lengths of the sides (in feet) are as follows: AB = 202.74, BC = 283.87, CD = 498.37, DE = 320.33, and EA = 380.78. The coordinates of station A are X = 20, 000.00 ft and Y = 15,000.00 ft. Part A Compute the area enclosed by the traverse above using DMDs. Express your answer to two significant figures and include appropriate units. Note: Traverse does not need to be adjusted to determine the correct answer.