Answer:
[tex]33.69^{\circ}[/tex]
Step-by-step explanation:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Therefore, we have the following equation:
[tex]\tan B = \frac{6}{9},\\B=\tan^{-1}(\frac{6}{9})\approx \boxed{33.69^{\circ}}[/tex]
