Respuesta :

Answer:

b = 9

Step-by-step explanation:

A= 30°      a = 3[tex]\sqrt{3x}[/tex]

B =            b =

C = 90°     c =

find B first

90 + 30 = 120

180 - 120 = 60

B = 60°

Now, let's find b

use the Law of Sines

[tex]\frac{sin A}{a} = \frac{sin B}{b} \\\frac{sin 30}{3\sqrt{3} } = \frac{sin 60}{b}\\b = \frac{3\sqrt{3} sin 60 }{sin 30}\\b = 9[/tex]