Here, we have a right triangle.
Given the dimensions:
AB = 45
AC = 30
To find the m∠B, use the trigonemetric function of a right triangle.
Thus, we have the formula:
[tex]\tan B=\frac{AC}{AB}[/tex]
Input values into the formula:
[tex]\begin{gathered} \tan B=\frac{30}{45} \\ \\ \tan B=0.667 \\ \text{Take the inverse tangent of both sides} \\ B=\tan ^{-1}(0.667) \\ \\ B=33.69\degree \end{gathered}[/tex]
ANSWER:
33.69°
