Question

Find the missing angle. Round answers to the nearest tenth

Answer 1

First we calculate the hypotenuse using the values given:

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

We also have:

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

From this we have that the angle equals 34°.