RMC is a 30°-60°-90° triangle and RM = 22 in. Find RC.

We can solve this with the trigonometric function cosine
[tex]\cos \theta=\frac{al}{hy}[/tex]where al is the length of the adjacent leg (side next to angle θ) and hy is the length of the hypotenuse.
By taking θ as the angle whose measure equals 60°, we replace RC for al and 22 for hy, then we get:
[tex]\cos (60=\frac{RC}{22}{}[/tex]By multiplying both sides by 22, we get:
[tex]\begin{gathered} 22\times\cos 60=RC \\ RC=22\cos 60=11 \end{gathered}[/tex]Then, RC equals 11