Question

Qual o valor de X?
pfv expliquem

Answer 1

$\large\boxed{\begin{array}{l}\underline{\sf Observe\,a\,figura\,que\,eu\,anexei.}\\\rm calculando\,y\,pelo\,Teorema\,de\,Pit\acute agoras\,temos:\\\rm y^2=(\sqrt{10})^2+(\sqrt{2})^2\\\rm y^2=10+2\\\rm y^2=12\\\rm y=\sqrt{12}\\\rm y=\sqrt{4\cdot3}\\\rm y=2\sqrt{3}\\\underline{\sf Usando\,a\,relac_{\!\!,}\tilde ao\,cosseno\,temos:}\\\rm cos(30^\circ)=\dfrac{y}{x}\\\\\rm\dfrac{\diagup\!\!\!\!\!\!\sqrt{3}}{2}=\dfrac{2\diagup\!\!\!\!\sqrt{3}}{x}\\\\\rm x=2\cdot2\\\rm x=4\end{array}}$