Respuesta :

Answer:

[tex]x =7\sqrt{3}[/tex]

Step-by-step explanation:

By definition, the tangent of a z-angle is defined as

[tex]tan(z) =\frac{opposite}{adjacent}[/tex]

For this case

[tex]opposite = 7[/tex]

[tex]adjacent = x[/tex]

[tex]z=30\°[/tex]

So

[tex]tan(30) =\frac{7}{x}[/tex]

[tex]x =\frac{7}{tan(30)}[/tex]

[tex]x =7\sqrt{3}[/tex]

Answer:

7√3 = x

Step-by-step explanation:

Arbitrarily choose to focus on the 30 degree angle.  Then the side opposite this angle is 7 and the side adjacent to it is x.

tan 30 degrees = (opp side) / (adj side), or (1√3) = 7 / x.

Inverting this equation, we get √3 = x/7.

Multiplying both sides by 7 results in 7√3 = x