Question

Poderiam me ajudar a calcular esse problema

Answer 1

Resolvemos pela lei dos senos:

$\frac{x}{sen(30\º)}=\frac{8}{sen(45\º)}$

$x/\frac{1}{2}=8/\frac{\sqrt{2} }{2}$

$x\cdot 2=8\cdot \frac{2}{\sqrt{2} }$

$2x=\frac{16}{\sqrt{2} }$

$x=\frac{16}{2\sqrt{2} }$

$x=\frac{8}{\sqrt{2} }$

$x=\frac{8}{\sqrt{2} }\cdot \frac{\sqrt{2} }{\sqrt{2} }$

$x=\frac{8\sqrt{2} }{2}$

$x=4\sqrt{2}\ cm$