Question

determine o valor de x nas figuras​

Answer 1

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

$\Large\boxed{\begin{array}{l}\underline{\rm figura~2:}\\\\\sf x^2=4^2+8^2-2\cdot4\cdot8\cdot cos(60^\circ)\\\sf x^2=16+64-\backslash\!\!\!2\cdot32\cdot\dfrac{1}{\backslash\!\!\!2}\\\sf x^2=16+64-32\\\sf x^2=64-16\\\sf x^2=48\\\sf x=\sqrt{48}\\\sf x=\sqrt{16\cdot3}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=4\sqrt{3}}}}}\end{array}}$