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This is an application of Pythogoras' Theorem relating to right-angled triangles

A 3-12 roof pitch is a rise of 3" inches for every 12" run in to the centre or edge of the roof

so applying Pythagoras' theorem we get a right angled triangle that has one edge that is 12" long (a) and another edge that is 3" long (b)

We need not worry with the hypoteneuse, but we do need to concern ourselves with the Tan of the angle opposite line b.

The Tan of this angle is 0.25. the angle therefore is equal to arcTan or Tan-1 of 0.25 which is given as 14.04o to 2 decimal places

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Q: What is the angle on a 3 12 pitch roof?
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What does 3 and 12 mean?

It is usually referencing the pitch of a roof so a 3/12 roof would have a rise of 3" in a 12" span..... jimmyrjii


How may degrees between hour 12 and hour 3?

The angle between 12 o'clock and 3 o'clock is 90°


What is the difference between thread angle and lead angle also clear it from diagram?

A thread angle is the angle of the threads relative to the shank which is 60 degrees for unified screws The lead angle is the pitch of the screw divided by the circumference of the shank; it varies but is around 3 degrees


How do you figure the angle to cut trusses?

You will need a Framing Square. Decide what pitch roof you want or need. Steeper the roof, the more weight it will carry. 3 x 12 is minimum, 5 or 6 by 12 is better. Take a rafter, the top board of the roof frame, long enough to cover the distance you need. Lay the rafter flat with one end in front of you and the length of it towards your right. Lay the square on the rafter, corner pointing between your feet, long side on your left, short side on right and pointing away from you. On the bottom edge, the side closest to you, set the square on 12 inches. On the short, right hand side, set it on 3, 4, 5, whatever slope you have chosen. With the square in place, mark the back side closest to you on the rafter. This will give you the end angle of the rafter. Where you will put the fascia when trimming.You will need to figure how long a rafter you need to meet in the center. This will vary depending on angle of the roof, Steeper the pitch, the longer the rafter will be.On the end where you started, you will need to allow for the overhang where the soffit will be. This is a variable also. To allow for a 12 inch overhang, use the square again after you have cut the end of the rafter.Using the inside of the square this time with the point facing away from you, put the short side on the cut end of the rafter and on the long side mark the bottom of the rafter at 12 inches. At this point using the same angle as the end of the rafter, you will need to make a notch up of 1 1/2 inches using the square on the side away from you with the point away from you. The notch should be 1 1/2 high and maybe 2 1/2 long depending on angle of rafter.This only gets you the rafter for the left hand side. Generally the same on right hand also, still will need to figure cross bracing. That depends on width of roof and pitch. Steeper the pitch, the less bracing needed. All roofs are different.Rafters are easy to do, just takes a bit to describe and try to make sure all steps are covered and clear. Hope this helps.


Sam wants to tile the roof of his shed with square tiles that are 4 inches square His roof is 12 feet by 12 feet How many tiles does he need?

If the tiels do not overlap (shingles overlap) one square foot will be covered by 3 * 3 = 9 tiles12 * 12 = 144 square feet144 * 9 = 1296 tilesSam should get at least 1300 tiles because he is sure to break more than 4!This assumes that the roof is square and flat.

Related questions

What does 3 and 12 mean?

It is usually referencing the pitch of a roof so a 3/12 roof would have a rise of 3" in a 12" span..... jimmyrjii


If the pitch of the roof is 3 12 and the rise is 2ft what is the span of the roof?

8’


What is the minimum pitch requirement on a roof?

the pitch of a 7-12 roof slope meaning that for 12" of horizontal measurement (roof run) the vertical measurement (roof rise) is 7". Not totally sure but I believe the minimum to be about a 3-7 inch pitch 3 inch roof rise per 7 feet of horizontal measurement


When building a clear span pole barn is there an appreciable strength difference between a 3 in 12 pitch and a 4 in 12 pitch roof?

The steeper the pitch of any roof, the more resistance it has to developed live loads, such as snow or ice. The difference between a 3/12 and a 4/12 is not great, but the 4/12 is stronger. Another issue to consider is the roof's ability to shed water...3/12 is typically the shallowest pitch recommended for both metal and ashaltic type shingles. A 4/12 is a step better and is more likely to prevent failures during the life of the roof and will serve the roofing warrantee better.


A roof rises 2.4 feet vertically and 12.3 feet horizontally What is the grade of the roof?

A 2/12 pitch x 12.3 ft would be 24.6 inches of rise. A 3/12 would be 36.9 inches of rise. 2.33 feet = 27 inches. So you are between a 2 and 3 pitch.


What is the actual rise of a roof rafter?

Depends on what pitch the roof is. Measure the ceiling joist to a point or to center and then plumb to the rafter and do the math. 3, 4, 5, x 12 pitch rises that much per foot of distance on the ceiling joist. 3x12 pitch, 12 feet to center of joist, 3x12=36. 36 inch rise from the edge of the roof to the center.


What should the pitch of your patio cover be if the patio is 20ft by 13ft?

That depends on the roof material. Metal can be as low a 1/12. Fibergglass shingles should be at least 3/12.


What is the pitch for a 10ft x 10ft gazebo roof?

Depends on the roofing materials. Standard shingles must be above 3/12 pitch, unless you're using a rubber membrane as the underlayment.


Is felt paper or tar paper reguired on the roof?

Your local building codes will provide what they require. In general on a new roof felt paper is only required for the first 3 feet for a pitch of 6/12. For lower pitch roofs the entire thing should be papered. Most roofers now use a new membrane called "Ice and water shield" for the first 3 feet and recommend using tar paper for the rest of the entire roof. The cost difference for papering the entire roof is minimal and provides much more protection.


Find the measures of the angles of a triangle if the measures of one angle is twice the measure of a second angle and the third angle measures 3 times the second angle decreased by 12?

Let the second angle of the triangle be A. Then angle 1 = 2A : and angle 3 = 3A - 12 The internal angles of a triangle total 180° therefore :- 2A + A + (3A - 12) = 180 6A - 12 = 180 : 6A = 192 : A = 32 The angles measure 64° , 32° and 84° .


Bearing wall carrying two sections of roof and want to put in a post and beam instead of the wall Wall is 12 ft long What size beam or glulam do you need?

too many variables here, mostly the size of the roof above it (steepness, weight of shingles, tile or slate? etc. You're best to overengineer it. A double thickness (3.5" X 12" or 16" wide) glulam will support a reasonably large roof above it, otherwise a simple double 2x12 would work for a 3/12 -6/12 pitch roof with light grade 30 year shingles.


What is the slope of a roof that rises 12 feet over a run of 28 feet?

12/28 = 3/7