Question

Observe atentamente a figura abaixo: *

6 pontos



O valor da incógnita x é?

x=√2

x=30

x=2√3

x=√3

x=12

​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm Observe~a~figura~que~anexei}\\\underline{\rm C\acute alculo~da~medida~y:}\\\sf sen(30^\circ)=\dfrac{y}{12}\\\sf\dfrac{1}{2}=\dfrac{y}{12}\\\sf 2y=12\\\sf y=\dfrac{12}{2}\\\sf y=6\\\underline{\rm C\acute alculo~da~medida~x:} \\\sf tg(30^\circ)=\dfrac{x}{y}\\\sf\dfrac{\sqrt{3}}{3}=\dfrac{x}{6}\\\sf 3x=6\sqrt{3}\\\sf x=\dfrac{6\sqrt{3}}{3}\\\sf x=2\sqrt{3}\end{array}}$