Math Problem Statement
Hub el: 50 T.o.s@ 25 B.o.s@ 13 Slope length @ 35’ Rise? El every 5’?
Solution
To find the rise between the given elevations and the slope length, we can follow these steps:
-
Determine the total elevation difference (rise):
- Hub elevation (el) = 50
- Top of slope (T.o.s) = 25
- Bottom of slope (B.o.s) = 13
The elevation difference from Hub to B.o.s:
-
Calculate the slope length:
- The slope length given is 35 feet.
-
Calculate the rise per 5 feet: We need to calculate how much rise occurs for every 5 feet along the slope.
Using the total rise: Since the total rise is 37 feet, we can calculate the rise per foot: To find the rise for every 5 feet:
Summary:
- Total rise: 37 feet
- Rise every 5 feet: approximately 5.3 feet
Would you like more details or have any questions about this? Here are some related questions for further exploration:
- How is slope grade calculated based on rise and run?
- What is the significance of maintaining consistent rise intervals in construction?
- How does the slope length affect drainage and erosion?
- What are the best practices for grading and sloping in construction?
- Can you explain how to determine the angle of the slope from rise and run?
Tip: Always verify the slope and rise calculations on-site to account for any variances in terrain.
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Math Problem Analysis
Mathematical Concepts
Geometry
Trigonometry
Slope Calculation
Formulas
Rise = Hub el - B.o.s
Rise per foot = Total rise / Slope length
Rise per 5 feet = 5 * (Total rise / Slope length)
Theorems
Slope and rise/run relationships
Suitable Grade Level
Grades 7-9
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