Question

Need help with this math question

Answer 1

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

Answer 2

Answer:

$x =7\sqrt{3}$

Step-by-step explanation:

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

$tan(z) =\frac{opposite}{adjacent}$

For this case

$opposite = 7$

$adjacent = x$

$z=30\°$

So

$tan(30) =\frac{7}{x}$

$x =\frac{7}{tan(30)}$

$x =7\sqrt{3}$