hi im doing some triginometry right now and have got used to what i need, tangents secants etc but im having a problem with one thing, im not sure if my question wont be very easy for one of you, i hope so! , and hopefully youll enjoy working it out but im getting a mental block so it needs asking as its holding me back working other things out in my equations.
ok so im studying some books on roofing for framing regular and complicated irregular roofs but all the best literature on the subject is from usa, where they use a different system, they work in feet and inches so when they ratio a roof they have a base unit of 12, i am trying to make my own system by translation
thus a roof there would be described as a 4in12 pitch roof or 8in12 or 12in12 which is a 1/2 pitch, meaning it rises 12 inches for every 12 it runs, here we work to roof degrees, so i need my rise to be measured per metre! such as 300mm rise per 1metre or (1000mm)
so my question is this, if i have a right angle triangle for example with a rise or 600mm/a run (or adjacent side) of 848mm/ making the hypotenuse a total length of 1039........can you tell me what my unit length would be or put another way......what is my rise (600) per metre if 848 is my length?
simple equation would be nice too so i can use it on other numbers as my base, thanks (for visualization this triangle is 35degrees angle) imagine half a roof..
so once again im looking at finding my 'rise per metre' (unit rise) from any of the other available data i have, inc. deg tan sec total rise, total run, and rafter length (hypotenuse) i know its some sort of 10 calculation but its weighing my brain, thanks again
(another example for a 45deg roof, unit rise would be 1000mm for every 1000mm or300mm in every 300mm, but for a roof of 42.5 degrees if rise was 275mm in every 300mm run, what would per metre(1000mm) rise be?