From right triangle trigonometry, we have the following:
[tex]\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } [/tex],
where the "opposite side" means the opposite side to angle with measure [tex]35^o[/tex], and "adjacent side" means the adjacent side to angle with measure [tex]35^o[/tex].
[tex]tan(35^o)[/tex] is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives [tex]tan(35^o)=0.7[/tex]
Thus, back in the equation [tex]\displaystyle{ tan(35^o)= \frac{opposite \ side }{adjacent \ side } [/tex] we substitute as follows and solve:
[tex]\displaystyle{0.7= \frac{x }{12 }\\\\[/tex]
[tex]x=0.7\cdot12=8.4[/tex]
Answer: 8.4 cm
