Answer:
66.2 degrees
Explanation:
The diagram illustrating this problem is drawn here for ease.
To find the measure of angle B, we apply trigonometric ratio:
[tex]\begin{gathered} \cos \theta=\frac{\text{Adjacent}}{\text{Hypotenuse}} \\ \implies\cos B=\frac{BC}{AB} \end{gathered}[/tex]
Substitute the given values:
[tex]\begin{gathered} \cos B=\frac{10.2}{25.3} \\ \implies B=\arccos (\frac{10.2}{25.3}) \\ m\angle B=66.2\degree \end{gathered}[/tex]
The measure of angle B is 66.2 degrees (the nearest tenth of a degree)
