Question

Observe atentamente a figura abaixo: *

8 pontos



O valor da incógnita x é?

x=6√2

x=√2

x=6

x=6√3

x=3

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Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Observe~a~figura~que~eu~anexei}\\\underline{\rm C\acute alculo~da~medida~y:}\\\sf sen(45^\circ)=\dfrac{y}{6}\\\sf\dfrac{\sqrt{2}}{2}=\dfrac{y}{6}\\\sf 2y=6\sqrt{2}\\\sf y=\dfrac{6\sqrt{2}}{2}\\\sf y=3\sqrt{2}\\\underline{\rm C\acute alculo~da~medida~x:}\\\sf sen(30^\circ)=\dfrac{y}{x}\\\sf\dfrac{1}{2}=\dfrac{3\sqrt{2}}{x}\\\sf x=2\cdot3\sqrt{2}\\\sf x=6\sqrt{2}\end{array}}$