A roof rises 5.5 ft over a horizontal distance of 18.74 ft. What is the slope of the roof to the nearest hund

Answer 1

There is a formula used for slope:

Change of y
-----------------
Change of x

If you were to represent this roof on a graph you would use an x and y axis....

y is the vertical direction on a graph and since the roof rises 5.5ft y = 5.5ft

Since x is the horizontal on a graph and the horizontal distance 18.74ft x = 18.74ft

Therefore substituting into the equation you get:

5.5ft
-------
18.74ft

When you divide you get .29348986 etc

Rounded to the nearest hundreth the slope is .29ft

Answer 2

Do you need the slope, or the length from the start to the peak?

If it's the slope, then you could draw the roof starting at the origin and going to the right 18.74 and up 5.5. Since slope is "rise/run" it would be 5.5/18.74

If you need the side length, then you will need to use Pythagorean Theorem - a^2 + b^2 = c^2 for any right triangle. You have a & b, so you would just plug them in to the formula to solve for c.

Answer 3

In the USA where I live, roof slopes are measured as "pitch" which is so many inches of rise for each foot of run. If you want your problem calculated in this manner, then your total rise is 5.5X12=66 inches divided by 18.74 ft of run will give you a pitch of ~3.52 inches, per 12 inches, of course. I hope this helps. Various governmental and building code regulations pertain to roof pitches. For instance, shingle roofs require a minimum pitch of 4 inches or greater, so it would be a crime to use shingles on your roof that you describe.

Answer 4

slope = rise over run
slope = 5.5/18.74 = .29

Answer 5

0.29