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igure P7-10. P7-10 Given the partial traverse shown in Figure P7-10 place the following items in the table: ▪ Bearing of each property line (course) ■ Distance of each course ■ Cosine of each bearing angle ■ Sine of each bearing angle ▪ Latitude of each course ■ Departure of each course 262 $50°E 2 0% 6 M.BES 214.8' 253 $70°E 5⁰ N55°W 235' 246' N30°E P

igure P7-10. P7-10 Given the partial traverse shown in Figure P7-10 place the following items in the table: ▪ Bearing of each property line (course) ■ Distance of each course ■ Cosine of each bearing angle ■ Sine of each bearing angle ▪ Latitude of each course ■ Departure of each course 262 $50°E 2 0% 6 M.BES 214.8' 253 $70°E 5⁰ N55°W 235' 246' N30°E P

Structural Analysis
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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I'M CONFUSED ON PUTTING EVERYTHIN TOGETHER

COURSE BEARING DISTANCE COS SIN LATITUDE DEPARTURE
1-2            
2-3            
3-4            
4-5            
5-6            
**Figure P7-10: Partial Traverse Analysis** This exercise involves analyzing the given partial traverse (Figure P7-10) by determining the following items for each property line, or course: - **Bearing of each property line (course):** This refers to the directional angle of the course relative to a reference direction such as true north. - **Distance of each course:** The length of each property line in feet. - **Cosine of each bearing angle:** The cosine trigonometric function of the angle, useful for calculating horizontal distances. - **Sine of each bearing angle:** The sine trigonometric function of the angle, useful for calculating vertical distances. - **Latitude of each course:** The north-south component of the course, calculated as the product of distance and the cosine of the bearing angle. - **Departure of each course:** The east-west component of the course, calculated as the product of distance and the sine of the bearing angle. **Details of Diagram:** The sketch represents a six-pointed polygon labeled 1 through 6. The lines connecting these points represent property lines with the following details: 1. Line from point 1 to 2 at a bearing of S50°E and a distance of 260 feet. 2. Line from point 2 to 3 at a bearing of S70°E and a distance of 253 feet. 3. Line from point 3 to 4 at a bearing of N80°E and a distance of 246 feet. 4. Line from point 4 to 5 at a bearing of N55°W and a distance of 235 feet. 5. Line from point 5 to 6 at a bearing of S89°W and a distance of 214.8 feet. A north-direction symbol is provided near point 1 to assist in the identification of the bearing angles.
Transcribed Image Text:**Figure P7-10: Partial Traverse Analysis** This exercise involves analyzing the given partial traverse (Figure P7-10) by determining the following items for each property line, or course: - **Bearing of each property line (course):** This refers to the directional angle of the course relative to a reference direction such as true north. - **Distance of each course:** The length of each property line in feet. - **Cosine of each bearing angle:** The cosine trigonometric function of the angle, useful for calculating horizontal distances. - **Sine of each bearing angle:** The sine trigonometric function of the angle, useful for calculating vertical distances. - **Latitude of each course:** The north-south component of the course, calculated as the product of distance and the cosine of the bearing angle. - **Departure of each course:** The east-west component of the course, calculated as the product of distance and the sine of the bearing angle. **Details of Diagram:** The sketch represents a six-pointed polygon labeled 1 through 6. The lines connecting these points represent property lines with the following details: 1. Line from point 1 to 2 at a bearing of S50°E and a distance of 260 feet. 2. Line from point 2 to 3 at a bearing of S70°E and a distance of 253 feet. 3. Line from point 3 to 4 at a bearing of N80°E and a distance of 246 feet. 4. Line from point 4 to 5 at a bearing of N55°W and a distance of 235 feet. 5. Line from point 5 to 6 at a bearing of S89°W and a distance of 214.8 feet. A north-direction symbol is provided near point 1 to assist in the identification of the bearing angles.
The image displays a table titled for courses and navigation calculations. It consists of seven columns labeled as follows: 1. Course: Lists the course segments denoted as 1-2, 2-3, 3-4, 4-5, and 5-6. 2. Bearing: Column for entering the bearing angle for each course segment. 3. Distance: Highlighted in a different color, it is used for recording the distance for each course segment. 4. Cos: Space for entering the cosine value related to each course. 5. Sin: Space for entering the sine value related to each course. 6. Latitude: Column for the computed latitude change for each segment. 7. Departure: Column for the computed departure change for each segment. The layout is designed to facilitate navigation calculations, commonly used in navigation and trigonometry to find position changes based on given course and distance data.
Transcribed Image Text:The image displays a table titled for courses and navigation calculations. It consists of seven columns labeled as follows: 1. Course: Lists the course segments denoted as 1-2, 2-3, 3-4, 4-5, and 5-6. 2. Bearing: Column for entering the bearing angle for each course segment. 3. Distance: Highlighted in a different color, it is used for recording the distance for each course segment. 4. Cos: Space for entering the cosine value related to each course. 5. Sin: Space for entering the sine value related to each course. 6. Latitude: Column for the computed latitude change for each segment. 7. Departure: Column for the computed departure change for each segment. The layout is designed to facilitate navigation calculations, commonly used in navigation and trigonometry to find position changes based on given course and distance data.
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