Answer
The correct answer is B
Explanation
The side length opposite to the angle [tex]\theta[/tex] has length [tex]3[/tex] units.
The length of the hypotenuse is [tex]8[/tex] units.
We use the trigonometric ratio that involves the length of the opposite side and the hypotenuse, which is
[tex]\sin\theta=\frac{Opposite}{Hypotenuse}[/tex]
[tex]\sin\theta=\frac{3}{8}[/tex]
This is the same as,
[tex]\sin\theta=0.375[/tex]
We take the sine inverse to obtain,
[tex]\theta=\sin^{-1}(0.375)[/tex]
This evaluates to
[tex]\theta=22.024[/tex]
Therefore the value of the angle [tex]\theta[/tex] is [tex]22.0\degree[/tex] to the nearest tenth
