Question

14) Calcule o valor de X em cada um dos triângulos retângulos das figuras abaixo (A) , (B) e (C)

Answer 1

a)

$Sen~30^{\circ}=\dfrac{x}{18}\Rightarrow \\\\\dfrac{1}{2}=\dfrac{x}{18}\Rightarrow ~~  \boxed x=9}$

b) $cos~45^{\circ}=\dfrac{x}{20}\Rightarrow x=10\sqrt{2}$

c) $tg~45^{\circ}=\dfrac{x}{9}\Rightarrow x=9$

Obs: Lembre que $sen~30^{\circ}=\dfrac{1}{2}, ~~~cos~45^{\circ}=~\dfrac{\sqrt{2}}{2},~~tg~45^{\circ}=1$