Question

Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Right triangle with hypotenuse labeled 11 and one leg labeled x. The angle between the leg labeled x and the hypotenuse is equal to 22 degrees.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let the leg labeled x be AC and the other leg be BC, with right angle at C. Angle ABC is 22 degrees. By definition of cosine, $\cos ABC=\frac{AC}{BC}$ $AC=BC\cos ABC=11\cos 22^\circ\approx \boxed{10.4}.$