Question

( EBraz.PE) Aplicando as razões trigonométricas no triângulo retângulo abaixo, descubra os valores dos catetos “x” e “y”.
a. 4cm e 4cm
b. 3cm e 4cm
c. 2cm e 4 √3cm
d. 4cm e 4 √3cm
e. 6cm e 4cm

Answer 1

$\sf{sen(30^{\circ})=\dfrac{y}{8}}\\\sf{y=\diagdown\!\!\!\!8\cdot\dfrac{1}{\diagdown\!\!\!\12}=4\,cm}\\\sf{cos(30^{\circ})=\dfrac{x}{8}}\\\sf{x=\diagdown\!\!\!\!8\cdot\dfrac{\sqrt{3}}{\diagdown\!\!\!\!2}=4\sqrt{3}\,cm}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{\maltese~~alternativa~~c}}}}}$