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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### 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.
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### 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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