Question

I need to find x but am lost which equation I should use

Answer 1

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side. In our triangle, 7 is the adjacent side to 30º, and x is the opposite side.

From this, we have the following relation

`\begin{gathered} (x)/(7)=\tan (30^o) \\ x=7\cdot\tan (30^o) \end{gathered}`

The tangent of 30º ise a known value

`\tan (30^o)=\frac{1}{\sqrt[]{3}}`

Solving for x, we have

`\begin{gathered} x=\frac{7}{\sqrt[]{3}} \\ x=4.04145188433\ldots \end{gathered}`