Need help setting Angle to cut 1.96 degrees

[Intex]

I am cutting long legs for a furniture project, and the plans call for two cuts for the sides of two different legs, one at 1.96 degrees and one at 2.6 degrees, these would be reference from the opposite side of the legs.

I thought of laying out the lines using a digital protractor, but they are not always accurate, then I looked at dial protractors such as a starrett 505, but have heard these are only for finding miter saw angles

A regular protractor is so small I can not read them that accuretly

Any ideas?? 

 

[Svar]

Why would a furniture plan require such accuracy? Just do 2 deg.
Alternatively, you can lay it out as right triangle on paper, template, or work piece itself. 1.96 deg. is 34.2 rise over 1000 run.

[attachimg=1]

 

[Intex]

Here is a drawing of part of the build that shows where they are calling out one of the Degree measurements

 

[Intex]

SVAR,
Thank you!
What is the formula you use to compute thaT, SO i CAN MAKE THE SAME COMPUTATION FOR THE OTHER Angles?

I think this is my best bet, to use the Length and Height measurements to draw it on each piece. I also have to match the Dado or mortise to fit the headboards, with the same angle of the leg.

 

[Sparktrician]

I'm not clear on why the mortise needs to be 1.96 degrees.  Most mortises can't be seen when  project is assembled, so why fool with it?  [huh]

 

[Svar]

What is the formula you use to compute thaT, SO i CAN MAKE THE SAME COMPUTATION FOR THE OTHER Angles?

Tangent: tan(1.96) = 0.0342 = 3.42%. Keep an eye on units, most calculators default to radians not degrees.
tan(2.6) = 0.0454

 

[Intex]

Svar

So thaT WOULD MAKE MY OTHER ANGLE OF 2.66 DEGREES = TANGENT (2.66)= 52.2MM HIGH OVER SPAN OF 1000 MM  ??

tHANK YOU!

 

[Svar]

Svar
So thaT WOULD MAKE MY OTHER ANGLE OF 2.66 DEGREES = TANGENT (2.66)= 52.2MM HIGH OVER SPAN OF 1000 MM  ??
tHANK YOU!

I've got tan(2.66)=0.0465. 46.5mm over 1000mm. Your calculator assumed the angle was 2.66 rad instead of degrees, then its -0.522.
Use online one:https://www.rapidtables.com/calc/math/Tan_Calculator.html
Make sure to select degrees from drop down menu.

 

[Intex]

Svar,

Thank you!
Does anyone use Digital Protractors for this kind of layout?

 

[Jesse Cloud]

If you are doing this to know how to cut your stretchers, my advice would be to cut the first leg in the ballpark of that angle, then use it as a pattern to ensure that all legs have the same angle.  Then simply clamp the stretcher stock to the legs and mark the angles needed.

In the real world, much of what we do is "cut to fit - as built".  Ask any carpenter.

 

[Michael Kellough]

Svar,

Thank you!
Does anyone use Digital Protractors for this kind of layout?

Good luck finding a digital protractor that can resolve .01 degrees.
They pretty much all can barely distinguish .1 degree and even then they continue to display the same increment until you get close to the next 1/10th degree.

For finer work you need a vernier protractor and even then you’ll need to do some interpretation to get close to .01 degree.

But as has been said, for this instance you can and should round to 2 degrees.

It’s more practical to do as Svar suggests and draw odd angles at a large scale and then cut a template from card stock to use as a guide.