[tex]\large\boxed{\begin{array}{l}\underline{\sf C\acute alculo\,do\,3^o\,\hat angulo:}\\\rm 180^\circ-(30^\circ+105^\circ)\\\rm 180^\circ-135^\circ\\\rm45^\circ\\\underline{\sf Pela\,lei\,dos\,senos:}\\\rm\dfrac{x}{sen(45^\circ)}=\dfrac{6}{sen(30^\circ)}\\\\\rm x\cdot sen(30^\circ)=6\cdot sen(45^\circ)\\\rm x\cdot\dfrac{1}{\backslash\!\!\!2}=6\cdot\dfrac{\sqrt{2}}{\backslash\!\!\!2}\\\\\rm x=6\sqrt{2}\\\rm x=6\cdot1,41\\\rm x=8,46\,cm\end{array}}[/tex]
[tex]\large\boxed{\begin{array}{l}\rm escala=\dfrac{comprimento\,no\,desenho}{comprimento\,real}\\\\\rm\dfrac{1}{10\,000}=\dfrac{8,46}{comprimento\,real}\\\\\rm comprimento\,real=8,46\cdot10\,000\\\rm comprimento\,real=84600\,cm\\\sf dividindo\,por\,100\,000\,temos:\\\rm comprimento\,real=84600\div100\,000\\\rm comprimento\,real\approxeq0,84\,km\\\huge\boxed{\boxed{\boxed{\boxed{\rm\dagger\red{\maltese}~\blue{alternativa~c}}}}}\end{array}}[/tex]
