Question

Quien me puede ayudar con esto​

Answer 1

Respuesta:

$\frac{ \sin(A) }{a} = \frac{ \sin(C) }{c} \\ \sin(A) = \frac{a \times \sin(C) }{c} \\ \sin(A) = \frac{20 \times \sin(30) }{11} \\ \sin(A) = 0.9 \\ A = { \sin}^{ - 1} (0.9) \\ A = 64.16 \\ A + B + C= 180 \\ 64.16 + 30 + B = 180 \\ B= 180 - 30 - 64.16 \\ B = 85.84 \\ \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} \\ b = \frac{c\times \sin(B) }{ \sin(C) } \\ b = \frac{11 \times \sin(85.84) }{ \sin(30) } \\ b = 21.94$