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
Related questions
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c91e8d4-c182-4876-82b1-3c6b4fa1f835%2F6f159cd8-2f93-41ad-bb5c-a30ee387cdd3%2Fw2jj7q_processed.png&w=3840&q=75)
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.
---
### 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
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Structural Analysis](https://compass-isbn-assets.s3.amazonaws.com/isbn_cover_images/9781337630931/9781337630931_smallCoverImage.jpg)
![Structural Analysis (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134610672/9780134610672_smallCoverImage.gif)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
![Principles of Foundation Engineering (MindTap Cou…](https://www.bartleby.com/isbn_cover_images/9781337705028/9781337705028_smallCoverImage.gif)
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
![Fundamentals of Structural Analysis](https://www.bartleby.com/isbn_cover_images/9780073398006/9780073398006_smallCoverImage.gif)
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
![Sustainable Energy](https://www.bartleby.com/isbn_cover_images/9781337551663/9781337551663_smallCoverImage.gif)
![Traffic and Highway Engineering](https://www.bartleby.com/isbn_cover_images/9781305156241/9781305156241_smallCoverImage.jpg)
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning