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

Explanation:

Step1: Identify trig - ratio

In right - triangle FGH, we know the side opposite the angle ($FG = 4$) and we want to find the hypotenuse ($FH$). We use the sine function. $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$. Here, $\theta = 39^{\circ}$ and the opposite side to $\theta$ is $FG$, and the hypotenuse is $FH$. So, $\sin39^{\circ}=\frac{FG}{FH}$.

Step2: Rearrange the formula

We can rewrite the formula $\sin39^{\circ}=\frac{4}{FH}$ as $FH=\frac{4}{\sin39^{\circ}}$.

Step3: Calculate the value

We know that $\sin39^{\circ}\approx0.6293$. Then $FH=\frac{4}{0.6293}\approx6.4$.

Answer:

$6.4$