Find the value of x. Round your answer to the nearest tenth.
A.) 52.6
B.) 52.9
C.) 6.2
D.) 6.5

Answer:
Option A: 12.5
Step-by-step explanation:
We use trigonometric ratios on this right angled triangle.
[tex]$ cos \hspace{1mm} \theta = \frac{adj}{hyp} $[/tex]
we get:
[tex]$ cos \hspace{1mm} 28^{\circ} = \frac{11}{x} $[/tex]
Also cos 28° = 0.88
Therefore, x = [tex]$ \frac{11}{0.88} $[/tex]
[tex]$ = \frac{100}{8} =\textbf{12.5} $[/tex]
OPTION A is the answer.