Math question

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Math question // Roundtable

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Post by bill // Aug 20, 2006, 12:18pm

bill
Total Posts: 114
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Back when I was much younger and my mind had not slipped I knew how to do this. Can someone give me a formula that will calculate the angle as illustrated below?

As line segment AB travels around the circle the lines TX and TZ will adjust accordingly. TX and TZ are known quantities. How do I calculate the angle?

Post by RichLevy // Aug 20, 2006, 1:30pm

RichLevy
Total Posts: 1140
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I stand a very good chance of falling directly on my face with this :D, but here it goes...
SAH=Sin(add/hyp)=theta
CAH=Cos(add/hyp)-theta
TOA=Tan(add/opp)=theta

TX=add
TZ=opp
not labeled is the hyp
so, the formula is Tan(TZ/TX)= angle A

MAn I hope I got that right, I haven't done a wood roof in more than a couple of years so I am slightly out of practice :)

Rich

Please, please be right lol

Post by bill // Aug 20, 2006, 2:38pm

bill
Total Posts: 114
pic
I stand a very good chance of falling directly on my face with this :D, but here it goes...
SAH=Sin(add/hyp)=theta
CAH=Cos(add/hyp)-theta
TOA=Tan(add/opp)=theta

TX=add
TZ=opp
not labeled is the hyp
so, the formula is Tan(TZ/TX)= angle A

MAn I hope I got that right, I haven't done a wood roof in more than a couple of years so I am slightly out of practice :)

Rich

Please, please be right lol

Ohhhh...so close!!!! Not correct but you got me to where I needed to go. The correct answer is Atan(TZ/TX). Please select from one of the lovely door prizes on the way out :).

Thanks for your help. I was stumped there for awhile.

Post by RichLevy // Aug 20, 2006, 3:55pm

RichLevy
Total Posts: 1140
pic
If I had a scientific calculator I would have gotten that :) the inverse at the end was something I was thinking about when I had posted the message... but it's been awhile lol.


Glad it got you pointed in the right direction though.


Rich
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