Respuesta :

Answer:

10.39230485

Step-by-step explanation:

Hey There!

To solve for the hypotenuse we are going to use the 30-60-90 triangle rule

we are given x [tex]3\sqrt{3}[/tex]

to find the hypotenuse we multiply x by 2

[tex]2(3\sqrt{3)} =6\sqrt{3}[/tex]

the exact value of [tex]6\sqrt{3}[/tex] is 10.39230485

so 10.39230485 is your answer

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Answer:

[tex]\boxed{\text{ \Large 6\sqrt{3} $ }}[/tex]

Step-by-step explanation:

Use sine rule

[tex]\large \text{$ \sf sin(\theta)=\frac{opposite \ side}{hypotenuse \ side} $}[/tex]

[tex]\large \text{$ \sf sin(30)=\frac{3\sqrt{3}}{hyp} $}[/tex]

Solve for hypotenuse

[tex]\large \text{$ \sf hyp=\frac{3\sqrt{3}}{sin(30) } = \frac{3\sqrt{3} }{0.5}=6\sqrt{3} $}[/tex]

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