Respuesta :

Answer:

b = 7[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

and the exact value

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex], thus

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{b}[/tex] and

[tex]\frac{7}{b}[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

b = 7[tex]\sqrt{3}[/tex]