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

Answer:

$2.0$

Explanation:

Step1: Identify trig - ratio

In right - triangle $EFG$ with $\angle G = 90^{\circ}$, $\sin E=\frac{FG}{EF}$.

Step2: Substitute values

We know that $EF = 2.8$ and $\angle E=46^{\circ}$. So $FG = EF\times\sin E$.

Step3: Calculate

$FG=2.8\times\sin(46^{\circ})$. Since $\sin(46^{\circ})\approx0.7193$, then $FG = 2.8\times0.7193=2.01404$.

Step4: Round

Rounding $2.01404$ to the nearest tenth gives $2.0$.