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Answer :

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.

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