answersLogoWhite

0


Best Answer

The quick and easy way is to purchase a speed square ($8). It has pitch and angles on it. Next a bit more of an investment is to purchase a Construction Master calculator($100). This is an invaluable tool for the building trade.

Other than that you will need to use a trigonometric function. This will require a tangent table that can be found in a Trigonometry book or on a scientific calculator.

IE. If you have an angle of 18.5 you will need to know the tangent of that angle. First you will need to understand how degrees are represented in the chart. If you look at the Trigonometric functions table you will find that the degree's are represented in

n°n'. in this format for example 18d30' means 18 degrees and 30 minuets which is a term used for fractions of a degree. As on a clock the minuets represent 60 units so you will need to convert the decimal value to minuets. So 60(for our minuets value)/ (divided by)1 (for our decimal value) X.5 (our fractions of a degree)=30' now we have 18°30'

The pitch is represented as 12 units of run (horizontal) and n units of rise (vertical) to solve for n the formula would be the tangent of the measured angle times the run (12) = the rise. Therefore the tangent of 18°30' is .3346 times the run 12 = 4.0152 or 4/12 (4 in 12) pitch. For each 12" out you go 4" up.

Converting a roof pitch to roof angle:

IE. a 4 in 12 pitch. Formula will be the opposite over the adjacent = the tangent of the angle you are looking for. In this case 4 is the opposite and the 12 is the adjacent. therefore we have 4/12 or 4 divided by 12 that = .33333 looking at the tangent of this fraction we will find it falls between .3314 and .3346 the angle for .3314 is 18d20'00" and .3346 is 18d30'00". you have to be looking at the Nat. tangent table to understand this part. There is more, in this format 18d20'00" means 18 degrees and 20 minuets 0 seconds which is a term used for fractions of a degree. As on a clock the minuets and seconds represent 60 units each so it will need to be converted to decimal value. So 1 (for our decimal value) / (divided by) 60(for our minuets value)X20(number of minetus)=.3333 or .3333° and 1/60X30=.5 or .5° so the angle for a 4 in 12 pitch is between 18.3333° and 18.5°.

Now a bit more to narrow it down. our tangent for a 4/12 was .3333 falling between .3314 and .3346 the difference between the 2 choices is 32 units. the difference between the 2 angles is 10'(minetus) so for each unit of difference you have 10 divided by 32 = .3125' (minutes per unit) now from .3314 to our tangent of .3333 you have 19 units thus 19x.3125'=5.93' now you need to add this to the first angle of 18d20'00" for a total of 18d 25.93' so converting the minutes to decimal 1/60x25.93=.4321 for a total of 18.4321°. The construction Master gives the answer of 18.43 in about 6 seconds, the speed square about 3 seconds.

Concluding: if a Construction Master is not in the budget buy a speed square.

Short list of angles/pitch

4.76°=1/12

9.46°=2/12

14.04°=3/12

18.43°=4/12

22.62°=5/12

26.57°=6/12

30.26°=7/12

33.69°=8/12

36.87°=9/12

39.81°=10/12

42.51°=11/12

45°=12/12

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you convert roof angle to roof pitch?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Trigonometry
Related questions

What is the angle of slope in a roof called?

The pitch of the roof.


How do you figure out a roof pitch by pictures?

Use a plastic compass to determine the angle of the roof in relation to the horizontal, then find the pitch based on the angle. Angle to pitch ratios are available on the web.


How do you calculate a roof pitch of 6 degrees?

A roof angle of 6 degrees = 1.26 / 12 rise or pitch.


Explain what is single pitched roof with diagrams?

A single pitch roof is basically a flat roof with a pitch (or angle), usually to allow water to run off. This differs from a double pitch roof /\ that is what you commonly see.


How do you figure out the pitch of a roof?

The angle, or pitch, of a roof is calculated by the number of inches it rises vertically for every 12 inches it extends horizontally.


How do you build a hip roof?

A hipped roof is a roof that slopes downwards. It has a uniform angle of pitch. To learn more about how to build a hipped roof, one can visit the wikiHow website.


How does height affect angle ie a 90 degree roof angle at a 20 degree pitch with a building That projects 10 degrees what angle does the building meet the roof?

we add the 20 degrees to the 30digrees so it is 50


What is the pitch of the roof in the Philippines?

The pitch of the roof in the Philippines refers to the angle, or the slope of the roof. Due to the fact that the Philippines is susceptible to weather events such as typhoons, a properly built roof is vital. A slope of 15 to 30 degrees is best for the climate in the Philippines.


What is the percentage slope of a 4 12 roof pitch?

The angle of inclination off horizontal is roughly 18-1/2o.


How do you find the rise of a roof?

The easiest way is to use a tool called a pitch finder that can be placed on top of the roof, on gable end soffit, or in the attic under a rafter to find the pitch. This is a special tool and can also be used to find level, plumb, or any angle in between. I have provided a link that goes into great detail on three different methods to find the existing roof pitch.


Question poised to me by contractor. What pitch is your roof My answer was that it rises at a 25 degree angle. What is the pitch in his terms?

If I remember right it should be between a 5 and 6 pitch. Between a 5/12 pitch and 6/12 pitch. If it was 27.5 degrees it would be a 6/12 pitch. Enter in "roof pitch" in the Google bar and several sites will come up where you can calculate pitch. The 12 means 12 inches. So that it would be aproximitely 6 inches rise to 12 inches of run. Hope this helps and I hope I remember my roof pitch angles. It has been a few years since I have done it.


How do you find roof pitch?

Roof pitch is measured in "rise over run". In other words, how many inches does the roof rise vertically in 12" of horizontal run. If a roof rises 4" in 12" of run, you have a 4/12 roof pitch.