Question

Obtenha o valor de x em cada uma das figuras a seguir.​

Answer 1

Resposta:

$a)\boxed{x=2\sqrt{3} }$

$b)\boxed{x=8\sqrt{3} }$

(>‘o’)>

Explicação passo-a-passo:

a)

sen60° =  $\dfrac{x}{4}$      sen60° = $\dfrac{\sqrt{3} }{2}$

$\dfrac{\sqrt{3} }{2} =\dfrac{x}{4} \\\\2x=4\sqrt{3} \\x=\dfrac{4\sqrt{3}}{2} \\\boxed{x=2\sqrt{3} }$

b)

tg30° = $\dfrac{8}{x}$          tg30° = $\dfrac{\sqrt{3} }{3}$

$\dfrac{\sqrt{3} }{3} =\dfrac{8}{x} \\\\x.\sqrt{3} =24\\\\x=\dfrac{24}{\sqrt{3} } =\dfrac{24}{\sqrt{3} }.\dfrac{\sqrt{3} }{\sqrt{3} }=\dfrac{24\sqrt{3} }{\sqrt{9} } =\dfrac{24\sqrt{3} }{3} =\boxed{8\sqrt{3} }$