Based on the triangle, we have the following information:
Hypotenuse = 34 units
Side opposite of the angle = 21 units
Angle = ?
To get the value of the missing angle, we will use sine function. The formula is:
[tex]\sin \theta=\frac{opposite\text{ side}}{\text{hypotenuse}}[/tex]
Since we already have the values of the opposite side and hypotenuse, let's plug it in the function above.
[tex]\begin{gathered} \sin \theta=\frac{21}{34} \\ \theta=\sin ^{-1}\frac{21}{34} \\ \theta=38.1445\approx38\degree \end{gathered}[/tex]
Therefore, the measure of the missing angle is approximately 38 degrees.
