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Answer:

Step-by-step explanation:

We are given two sides, the adjacent and the opposite, and the angle of 60*

Using this information, we can refer to the acronym:  

SOH CAH TOA

[tex]Sin = \frac{opposite}{hypotenuse} , Cos = \frac{adjacent}{hypotenuse} , Tan = \frac{opposite}{adjacent}[/tex]

For this question, we will be using the Tangent equation

Tan(60*) = 12/x

Using a calculator, Tan (60*) = sqrt 3

Then cross-multiply

[tex]\frac{\sqrt{3} }{1} *\frac{12}{x}\\\\12=\sqrt{3} x\\\\\frac{12}{\sqrt{3} } = x[/tex]

[tex]\frac{12*\sqrt{3} }{\sqrt{3}*\sqrt{3}} \\\\\frac{12\sqrt{3}}{3}[/tex]

Therefore the answer is: x = 4[tex]\sqrt{3}[/tex]

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