Hi,
All variables given in blue are known values. I am trying to calculate the angle X in terms of the variables I know. How can I do this?
Hello, Corpsecreate!
All variables given in blue are known values.
I am trying to calculate the angle X in terms of the variables I know.
The sum of the (interior) angles of a triangle is always equal to 180^{o}.
Hence: .$\displaystyle A + B + (C + X) \;=\;180$
Got it?
Angle $\displaystyle C$ is the entire interior angle, not just the angle up to the horizontal. $\displaystyle A + B + C$ will give $\displaystyle 180$, $\displaystyle A + B + (C + X)$ will give a number larger than $\displaystyle 180$.
The angle side $\displaystyle b$ makes with the horizontal is $\displaystyle A + phi$, I dont see how adding $\displaystyle X$ to this angle would give me angle $\displaystyle C$?
NVM: Question has been solved!
The angle referred to is the complement of the one you state, that is, $\displaystyle 180 - (A+\phi).$The angle side $\displaystyle b $ makes with the horizontal is $\displaystyle A + phi$, I dont see how adding $\displaystyle X$ to this angle would give me angle $\displaystyle C$?
NVM: Question has been solved!
This will equal the angle below the horizontal at $\displaystyle C.$ Add $\displaystyle X$ and you get $\displaystyle C.$
BTW., some labels on the diagram would have helped.