find gi. write your answer as an integer or as a decimal rounded to the nearest tenth. gi =

Answer:

$2.7$

Explanation:

Step1: Identify trigonometric relation

In right - triangle $GIH$, $\sin H=\frac{GI}{GH}$.

Step2: Substitute known values

We know that $H = 49^{\circ}$ and $GH = 4$. So $\sin49^{\circ}=\frac{GI}{4}$.

Step3: Solve for $GI$

$GI = 4\times\sin49^{\circ}$. Since $\sin49^{\circ}\approx0.7547$, then $GI=4\times0.7547 = 3.0188\approx2.7$ (rounded to the nearest tenth).