Question

4. Observe o triângulo abaixo e determine a medida de x. use: √2 = 1,41




126,9 m

155,7 m

219,6 m

219 m

Answer 1

$\large\boxed{\begin{array}{l}\underline{\rm c\acute alculo~do~3^o~\hat angulo:}\\\sf 180^\circ-(105^\circ+45^\circ)\\\sf180^\circ-150^\circ=30^\circ\\\underline{\rm Pela~lei~dos~senos:}\\\sf\dfrac{x}{sen(45^\circ)}=\dfrac{90}{sen(30^\circ)}\\\sf x\cdot sen(30^\circ)=90\cdot sen(45^\circ)\\\sf x\cdot\dfrac{1}{\backslash\!\!\!2}=90\cdot\dfrac{\sqrt{2}}{\backslash\!\!\!2}\\\sf x=90\cdot\sqrt{2}\\\sf x=90\cdot1,41\\\sf x=126,9~m\end{array}}$