Respuesta :

Answer:

[tex]\sf g = 13.18 \ units[/tex]

explanation:

the "g" refers to the opposite side of angle G

First solve for angle E:

E + 60° + 45° = 180°

E = 180° - 105°

E = 75°

Then using sine rule:

[tex]\sf \dfrac{a}{sin(A)} = \dfrac{b}{sin(B)}[/tex]

[tex]\rightarrow \sf \dfrac{18}{sin(75)} = \dfrac{g}{sin(45)}[/tex]

[tex]\rightarrow \sf \dfrac{18*sin(45)}{sin(75)} = g[/tex]

[tex]\rightarrow \sf g = 13.18 \ units[/tex]