sinus najmniejszego kąta to [tex]\frac{y}{r}[/tex]
r to [tex]\sqrt{30}[/tex]
a y to 2[tex]\sqrt{3}[/tex]
[tex]\frac{y}{r} = \frac{2\sqrt{3} }{\sqrt{30} } \\\frac{2\sqrt{3} }{\sqrt{30} } *\frac{\sqrt{30} }{\sqrt{30} } = \frac{6\sqrt{10} }{30} = \frac{\sqrt{10} }{5}[/tex]
cosinus to [tex]\frac{x}{r} = \frac{x}{6\sqrt{3} } = \frac{2\sqrt{3} }{9}[/tex]
mnożymy na krzyż by wyliczyć x
[tex]6\sqrt{3} = \sqrt{108} \\2\sqrt{3} = \sqrt{12}[/tex]
9x = [tex]\sqrt{108} *\sqrt{12}[/tex]
9x = [tex]\sqrt{1296}[/tex] [tex]= 36[/tex]
x= 4
:))
