Question

Determine o valor do lado oposto ao ângulo de 30º a partir dos dados da figura a seguir.

Answer 1

$\boxed{\begin{array}{l}\sf x^2=16^2+12^2-2\cdot16\cdot12\cdot cos(30^\circ)\\\sf x^2=256+144-\diagup\!\!\!\!2\cdot16\cdot12\cdot\dfrac{\sqrt{3}}{\diagup\!\!\!\!2}\\\sf x^2=400-192\sqrt{3}\\\sf x=\sqrt{400-192\sqrt{3}}\\\sf x=\sqrt{16(25-12\sqrt{3})}\\\sf x=4\sqrt{25-12\sqrt{3}}~cm\end{array}}$