Calculating Horizontal Run for 800ft Hill Grade of 8%

In summary, calculating the horizontal run for a hill with a grade of 8% can be done using the formula: Horizontal Run = (800ft / 8%) x 100 = 10,000ft. This calculation is important for engineering and construction projects as it helps determine land needed and estimates materials. The formula can be used for any hill grade, with steeper grades resulting in a shorter horizontal run. There is a difference between calculating horizontal run for a hill and a slope, with the former referring to natural elevation and the latter to artificial inclines created by humans.
  • #1
angiejohn
3
0
The grade of a hill is a slope and is stated as a percent. What would the horizontal run be for a hill with a vertical rise of 800 feet and a grade of 8%? :confused:
 
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  • #2
You might want to try posting questions like this in the Homework Help Forum. Anyway:

[tex] 8\% = \frac 8 {100} = \frac{\rm rise}{\rm run} = \frac{800}{\rm run} [/tex]

Solve for the run.
 
  • #3
Thank you.
 

Related to Calculating Horizontal Run for 800ft Hill Grade of 8%

1. How do you calculate the horizontal run for a 800ft hill with a grade of 8%?

To calculate the horizontal run for a 800ft hill with a grade of 8%, you can use the formula: Horizontal Run = (800ft / 8%) x 100 = 10,000ft. This means that for every 100 feet of elevation change, you will travel 8 feet horizontally.

2. What is the purpose of calculating horizontal run for a hill?

Calculating the horizontal run for a hill is important for engineering and construction projects. It helps determine the amount of land needed for a road or pipeline to be built at a specific grade, and also helps estimate the amount of materials needed for the project.

3. Can the horizontal run be calculated for any hill grade?

Yes, the horizontal run can be calculated for any hill grade. The formula remains the same, where the horizontal run is equal to the change in elevation divided by the grade percentage multiplied by 100.

4. How does the grade of the hill affect the horizontal run?

The steeper the grade of the hill, the shorter the horizontal run will be. This means that for a hill with a higher grade percentage, you will need to travel a shorter distance horizontally to cover the same elevation change compared to a hill with a lower grade percentage.

5. Is there a difference between calculating horizontal run for a hill and a slope?

Yes, there is a difference between calculating horizontal run for a hill and a slope. A hill refers to a natural elevation of land, while a slope is an artificial incline or decline created by human construction. The formula for calculating horizontal run remains the same for both, but the values may differ depending on the type of terrain.

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