Question

1) Determine o valor de x e y da figura abaixo.
Os valores de x e y são:
a) X = 8 e y = 4√3
b) X = 2√3 e y = 2
C) X= ( 8√3)/3 e y = ( 4√3)/3
d) X = 4√3 e y = 8
e) X = ( 4√3)/3 e y = ( 8√3)/3

Answer 1

$\small\blue{\boxed{\begin{array}{l}\sf tg(30^\circ)=\dfrac{y}{4}\\\\\sf\dfrac{\sqrt{3}}{3}=\dfrac{y}{4}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf y=\dfrac{4\sqrt{3}}{3}}}}}\\\\\sf sen(30^\circ)=\dfrac{y}{x}\\\\\sf\dfrac{1}{2}=\dfrac{\frac{4\sqrt{3}}{3}}{x} \\\\\sf x=2\cdot\dfrac{4\sqrt{3}}{3}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=\dfrac{8\sqrt{3}}{3}}}}}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf\maltese~alternativa~c}}}} \end{array}}}$