Respuesta :

Answer:

B = 26°

Step-by-step explanation:

To find Angle B we use sine

sin∅ = opposite / hypotenuse

From the question

AB is the hypotenuse

AC is the opposite

So we have

sin B = AC / AB

sin B = 4/9

B = sin-¹ 4/9

B = 26.38

B = 26° to the nearest hundredth

Hope this helps you

Answer:

[tex]\boxed{ \sf 26.39}[/tex]

Step-by-step explanation:

The triangle is a right triangle.

We can use trigonometric functions.

[tex]\sf sin(\theta )=\frac{opposite}{hypotenuse}[/tex]

[tex]\sf sin(?)=\frac{4}{9}[/tex]

[tex]\sf ?=sin^{-1}(\frac{4}{9} )[/tex]

[tex]\sf ? =26.38779996...[/tex]