The slope of a roof (pitch) is the ratio of the "rise" over the "run" of the roof. Say the pitch of a roof is 8/15. (This ratio is sometimes referred to as an 8-in-15 roof.) If a house 32 feet wide has a 3-in-8 peaked roof what is the total rise of the roof?
So the run is 16 and the rise is y
y/16 = 3/8
y = 3(16)/8 = 6 ft
Well, if the roof is a 3-in-8 peaked roof, it means that for every 8 feet of horizontal distance (or run), the roof goes up 3 inches (or rise). Since the house is 32 feet wide, we can calculate the rise as follows:
For every 8 feet, we have a rise of 3 inches.
So, for 32 feet, we can do a little math and find:
32 feet divided by 8 feet equals 4.
Now, we just multiply the rise (3 inches) by 4:
4 multiplied by 3 inches equals 12 inches.
Therefore, the total rise of the roof is 12 inches. Just make sure you duck if you're tall!
To find the total rise of the roof, we need to determine the vertical height of the roof based on the given pitch ratio and the width of the house.
Given:
Width of the house = 32 feet
Pitch ratio = 3-in-8
To calculate the total rise of the roof, we need to find the vertical height for a horizontal distance of 32 feet.
Step 1: Find the conversion factor:
The pitch ratio is given as 3-in-8. To calculate the conversion factor, we need to divide the rise by the run:
Conversion factor = Rise / Run = 3 / 8
Step 2: Calculate the vertical height for a horizontal distance of 1 foot:
To calculate the vertical height for a horizontal distance of 1 foot, we can multiply the conversion factor by 1:
Vertical height for 1 foot = Conversion factor * 1
Step 3: Calculate the total rise for a horizontal distance of 32 feet:
To calculate the total rise for a horizontal distance of 32 feet, we can multiply the vertical height for 1 foot by 32:
Total rise = Vertical height for 1 foot * 32
Now, let's calculate the total rise of the roof using the given information:
Conversion factor = 3 / 8 = 0.375
Vertical height for 1 foot = 0.375 * 1 = 0.375 feet
Total rise = 0.375 feet * 32 = 12 feet
Therefore, the total rise of the roof is 12 feet.
To find the total rise of the roof, we need to first find the run of the roof, and then multiply it by the pitch ratio.
Let's break down the information provided:
- The width of the house is given as 32 feet.
- The pitch ratio of the roof is 3-in-8.
The pitch ratio represents the rise-over-run ratio of the roof. In other words, for every 8 units of horizontal distance (run), the roof rises by 3 units (rise).
To find the run of the roof in this case, we use the given width of the house. Since the pitch ratio is in inches, we need to convert the width of the house to inches as well.
1 foot = 12 inches
So, the width of the house in inches is: 32 feet * 12 inches/foot = 384 inches.
Now, we can find the run of the roof by dividing the width of the house by 8 (since the pitch ratio is 3-in-8):
Run = 384 inches / 8 = 48 inches.
Finally, to find the total rise of the roof, we multiply the run by the rise part of the pitch ratio:
Total rise = 48 inches * 3/8 = 18 inches.
Therefore, the total rise of the roof is 18 inches.