Question

Quero saber o valor de x usando a lei dos senos.
X/sen30°= 12/sen120°

Answer 1

sen30º = 1/2
sen120º = √3/2

$\frac{x}{ \frac{1}{2} } = \frac{12}{ \frac{ \sqrt{3} }{2} } \\\\ 2x = \frac{24}{ \sqrt{3} } \\\\ 2 \sqrt{3}x = 24 \\\\ x = \frac{24}{2 \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{24 \sqrt{3} }{6} = 4 \sqrt{3}$