Question

Determine as medidas X e Y

Answer 1

$\large\boxed{\begin{array}{l}\sf x\longrightarrow cateto\,adjacente\,a\,60^\circ\\\sf a~relac_{\!\!,}\tilde ao\,trigonom\acute etrica\,que\,envolve\\\sf cateto\,adjacente\,e\,hipotenusa\,\acute e\,o\,cosseno.\\\sf cos(60^\circ)=\dfrac{x}{10}\\\sf x=10cos(60^\circ)\\\sf x=\diagdown\!\!\!\!\!10\cdot\dfrac{1}{\diagdown\!\!\!2}=5\cdot1=5\end{array}}$

$\large\boxed{\begin{array}{l}\sf x\longrightarrow cateto\,oposto\,a\,60^\circ.\\\sf como\,calculamos\,x\,anteriormente\\\sf podemos\,usar\,a\,tangente.\\\sf tg(60^\circ)=\dfrac{y}{x}\\\\\sf y=x\sqrt{3}\\\sf y=5\sqrt{3}\end{array}}$