Question

No triângulo ABC abaixo, temos que a=3, c=2 e sen  = 0,25. Determine o valor do seno do ângulo C. *

1/3

5/6

3/7

1/6

5/7


pfvr respondam isso rápido
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Answer 1

Explicação passo-a-passo:

Pela lei dos senos:

$\dfrac{a}{\text{sen}~\hat{\text{A}}}=\dfrac{c}{\text{sen}~\hat{\text{C}}}$

$\dfrac{3}{0,25}=\dfrac{2}{\text{sen}~\hat{\text{C}}}$

$3\cdot\text{sen}~\hat{\text{C}}=0,25\cdot2$

$3\cdot\text{sen}~\hat{\text{C}}=0,5$

$\text{sen}~\hat{\text{C}}=\dfrac{0,5}{3}$

$\text{sen}~\hat{\text{C}}=\dfrac{5}{30}$

$\text{sen}~\hat{\text{C}}=\dfrac{1}{6}$