Question

Encontre os valores de x em cada caso​

Answer 1

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$\tt e)~\sf cos(45^\circ)=\dfrac{x}{6}\\\sf \dfrac{\sqrt{2}}{2}=\dfrac{x}{6}\\\sf x=\dfrac{6\cdot\sqrt{2}}{2}\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf x=3\sqrt{2}~\checkmark}}}}}$

$\tt f)~\sf y^2=(\sqrt{10})^2+(\sqrt{2})^2\\\sf y^2=10+2\\\sf y^2=12\\\sf y=\sqrt{12}\\\sf y=\sqrt{4\cdot3}\\\sf y=2\sqrt{3}\\\sf cos(30^\circ)=\dfrac{y}{x}\\\sf\dfrac{\diagdown\!\!\!\!\!\!\sqrt{3}}{2}=\dfrac{2\diagdown\!\!\!\!\!\!\sqrt{3}}{x}\\\sf x=2\cdot2\\\huge\boxed{\boxed{\boxed{\boxed{\boxed{\sf x=4\checkmark}}}}}$