Question

Need help with this math question

Answer 1

7√3 = x

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

`x =7√(3)`

Explanation:

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

`tan(z) =(opposite)/(adjacent)`

For this case

`opposite = 7`

`adjacent = x`

`z=30\°`

So

`tan(30) =(7)/(x)`

`x =(7)/(tan(30))`

`x =7√(3)`