The right triangle is given hypotenuse length 12 and angles 30 degree and 60 degree.
To determine the value of x.
Use the trigonometric function cosine.
[tex]\cos 60^{\circ}=\frac{x}{12}[/tex][tex]\frac{1}{2}=\frac{x}{12}[/tex][tex]x=6[/tex]
Hence the value of x is 6.
