Help with Calculation of Roof Angle/Length to Ridge

[Jotre]

Hello everyone,

I'm building a house bed for the little one and need some support on how to easily calculate the angle and length of the roof.
I tried the classic Pythagorean theorem but couldn't quite make it work.

How can I easily determine the angle at which the roof meets the beam and the correct length to the ridge?
Does anyone have a "this always works" solution?

Grateful for support

 

[Snailman]

If it says 1492 on the drawing, then I get the angle to 50.89° and the outer measurement of the diagonal to 634.1

I suggest you draw on a piece of cardboard with these measurements first, it was a few decades ago since I learned it in school

 

[Jotre]

If it says 1492 on the drawing, then I get the angle to 50.89° and the outer dimension of the diagonal to 634.1

I suggest you draw on a piece of cardboard with these measurements first, it was a few decades ago that I learned it in school

How did you calculate that? Because the method should be applicable regardless of the measurements, I suppose.

 

[Snailman]

How did you calculate that? Because the method should be applicable regardless of the measure, I suppose.

Horizontals are 800/2 = 400, verticals 492

The angle y is then. Arctangent (492/400)

The diagonal is the square root of (492*492 + 400*400)

My calculator has a button for arctangent usually abbreviated to ATN

 

[Granngubben]

Pythagoras probably works anyway.
One leg, a = 1492 - 1000 = 492 mm (if I interpret the numbers correctly).
Other leg, b = 800/2 = 400 mm.
The hypotenuse then becomes, c = 634 mm.

 

[Snailman]

ATN is available on the calculator on my mobile, android, where you have to press INV first and then tan raised to the power of minus 1 (which tan changes to when you press INV)

 

[Jotre]

So regardless of the dimensions I build in, a2+b2=c2 works.

How do I calculate the angle where the diagonal meets the standing stud? For if I make it at 45 degrees, for example, does the same way of calculating work? This is where I get confused, namely.

 

[Snailman]

So regardless of the measurements I build with, a2+b2=c2 works

how do I calculate the angle where the diagonal meets the upright stud.
If I make it at 45 degrees, for example, does the same method of calculation work?
This is where I get confused, indeed.

Not sure what you mean, but if you add up the three angles in a finished right triangle, they always total 180 degrees. The Pythagorean theorem always applies to a right triangle.

 

[Snailman]

https://www.calculat.org/se/area-omkrets/rätvinklig-triangel.html


Try using this.

 

[Jotre]

[link]


Try using this.

It helps a lot, thank you so much for the help.