To find the missing angle θ in a right triangle using the inverse cosine function, you would typically look at the adjacent side and hypotenuse of the triangle.
The formula for finding the angle θ using the inverse cosine (cosine inverse or arccos) is:
\[ \theta = \cos^{-1}\left(\frac{\text{adjacent}}{\text{hypotenuse}}\right) \]
However, since I'm unable to see the image for the side lengths, I'm unable to provide you with the exact calculations for angle θ.
If you apply the formula correctly based on the given sides, you should arrive at one of the provided options:
- 59.5°
- 30.5°
- 43°
- 90°
If you have the lengths of the sides or more specific information about the triangle, please share that, and I can help you determine the correct angle!