solve for $x$. round to the nearest tenth, if necessary.\nanswer\nattempt 1 out of 2\n$x = $

Explanation:

Step1: Use cosine function

In right - triangle $\triangle GHI$ with right - angle at $H$, $\cos(G)=\frac{GH}{GI}$. Given $GI = x$, $GH = 2.1$, and $G = 61^{\circ}$, we have $\cos(61^{\circ})=\frac{2.1}{x}$.

Step2: Solve for $x$

We can rewrite the equation as $x=\frac{2.1}{\cos(61^{\circ})}$. Since $\cos(61^{\circ})\approx0.4848$, then $x=\frac{2.1}{0.4848}\approx4.3$.

Answer:

$4.3$