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I need to find x and under neath the problem are the answer choices

I need to find x and under neath the problem are the answer choices-example-1

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Given:

There are given two right-angle triangles.

Step-by-step explanation:

According to the question:

We need to find the value of x:

So,

First, we will find the value for the second triangle by using 60 degrees.

So,


\begin{gathered} sin60=(y)/(12√(6)) \\ (√(3))/(2)=(y)/(12√(6)) \\ 2y=12√(18) \\ y=6√(18) \end{gathered}

Now,

For the x:


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