Question

Calcule os lados de cada triângulo a seguir na forma decimal :
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Answer 1

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$\tt b)~\sf cos(60^\circ)=\dfrac{x}{8}\\\sf 0,5=\dfrac{x}{8}\\\sf x=8\cdot0,5\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=4}}}}$

$\tt c)~\sf sen(60^\circ)=\dfrac{12}{x}\\\sf0,86=\dfrac{12}{x}\\\sf 0,86x=12\\\sf x=\dfrac{12}{0,86}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=13,95~cm}}}}$

$\tt e)~\sf sen(30^\circ)=\dfrac{3}{x}\\\sf 0,5=\dfrac{3}{x}\\\sf 0,5x=3\\\sf x=\dfrac{3}{0,5}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=6~m}}}}$

$\tt f)~\sf tg(60^\circ)=\dfrac{5\sqrt{3}}{x}\\\sf\diagdown\!\!\!\!\!\!\sqrt{3}=\dfrac{5\diagdown\!\!\!\!\!\!\!\sqrt{3}}{x}\\\huge\boxed{\boxed{\boxed{\boxed{\sf x=5~m}}}}$