Respuesta :

First we calculate the hypotenuse using the values given:

[tex]h=\sqrt[]{(24)^2+(16)^2}\Rightarrow h=8\sqrt[]{13}[/tex]

We also have:

[tex]\sin (\theta)=\frac{16}{8\sqrt[]{13}}\Rightarrow\theta=\sin ^{-1}(\frac{2}{\sqrt[]{13}})\Rightarrow\theta=33.69\Rightarrow\theta\approx34[/tex]

From this we have that the angle equals 34°.