Question

Determine os valores desconhecidos. sen 0 = 00. H Cos 0 = CA TA tg = CO CA


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Answer 1

$\boxed{\begin{array}{l}\tt a)~\sf sen(30^\circ)=\dfrac{y}{12}\\\\\sf\dfrac{1}{2}=\dfrac{y}{12}\\\\\sf 2y=12\\\\\sf y=\dfrac{12}{2}\\\\\sf y=6\\\\\sf cos(30^\circ)=\dfrac{x}{12}\\\\\sf\dfrac{\sqrt{3}}{2}=\dfrac{x}{12}\\\\\sf 2x=12\sqrt{3}\\\\\sf x=\dfrac{12\sqrt{3}}{2}\\\\\sf x=6\sqrt{3}\end{array}}$

$\boxed{\begin{array}{l}\tt b)~\sf tg(30^\circ)=\dfrac{10}{y}\\\\\sf\dfrac{1}{\sqrt{3}}=\dfrac{10}{y}\\\\\sf y=10\sqrt{3}\\\\\sf sen(30^\circ)=\dfrac{10}{x}\\\\\sf\dfrac{1}{2}=\dfrac{10}{x} \\\\\sf x=2\cdot10\\\\\sf x=20\end{array}}$