Question

determine o valor de x nas figuras​

Answer 1

$\Large\boxed{\begin{array}{l}\underline{\rm figura~1:}\\\\\sf \dfrac{x}{sen(30^\circ)}=\dfrac{5\sqrt{2}}{sen(45^\circ)}\\\\\sf x\cdot sen(45^\circ)=5\sqrt{2} sen(30^\circ)\\\sf x\cdot\dfrac{\diagup\!\!\!\!\!\!\sqrt{2}}{\diagdown\!\!\!\!2}=5\diagup\!\!\!\!\!\!\sqrt{2}\cdot\dfrac{1}{\diagdown\!\!\!\!2}\\\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=5}}}}\end{array}}$

$\Large\boxed{\begin{array}{l}\underline{\rm figura~2:}\\\sf x^2=4^2+8^2-2\cdot4\cdot8\cdot cos(60^\circ)\\\sf x^2=16+64-\diagdown\!\!\!\!2\cdot4\cdot8\cdot\bigg(\dfrac{1}{\diagdown\!\!\!\!2}\bigg)\\\sf x^2=80-32\\\sf x^2=48\\\sf x=\sqrt{48}\\\sf x=4\sqrt{3}\end{array}}$