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:

  1. 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: Rise=Hub elB.o.s=5013=37\text{Rise} = \text{Hub el} - \text{B.o.s} = 50 - 13 = 37

  2. Calculate the slope length:

    • The slope length given is 35 feet.
  3. 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: Total length=35 feet\text{Total length} = 35 \text{ feet} Since the total rise is 37 feet, we can calculate the rise per foot: Rise per foot=37 feet35 feet1.06 feet\text{Rise per foot} = \frac{37 \text{ feet}}{35 \text{ feet}} \approx 1.06 \text{ feet} To find the rise for every 5 feet: Rise per 5 feet=5×1.065.3 feet\text{Rise per 5 feet} = 5 \times 1.06 \approx 5.3 \text{ 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:

  1. How is slope grade calculated based on rise and run?
  2. What is the significance of maintaining consistent rise intervals in construction?
  3. How does the slope length affect drainage and erosion?
  4. What are the best practices for grading and sloping in construction?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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