Answer:
[tex]B\approx 52.33^{\circ}[/tex]
Step-by-step explanation:
We have been given that [tex]\text{cos}(B)=\frac{11}{18}[/tex]. We are asked to find the measure of angle B.
We will use inverse cosine or arccos to solve for the measure of angle B as:
[tex]B=\text{cos}^{-1}(\frac{11}{18})[/tex]
[tex]B=52.33011303567^{\circ}[/tex]
Upon rounding our answer to nearest hundredth, we will get:
[tex]B\approx 52.33^{\circ}[/tex]
Therefore, the measure of angle B is 52.33 degrees.