Respuesta :

Answer:

A

Step-by-step explanation:

Find AB using the Law of Sine:

[tex] \frac{AB}{sin(C)} = \frac{AC}{sin(B)} [/tex]

Thus:

[tex] \frac{AB}{sin(40)} = \frac{47}{sin(103)} [/tex]

Multiply both sides by sin(40)

[tex] \frac{AB}{sin(40)}*sin(40) = \frac{47}{sin(103)}*sin(40) [/tex]

[tex] AB = \frac{47*Sin(40)}{sin(103)} [/tex]

AB = 31.0056916 ≈ 31.0 cm (nearest tenth)