Question

find eg.

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta=50^\circ$, opposite side $FG=6$, hypotenuse $EG$ is unknown.

Step2: Rearrange to solve for EG

Rearrange the sine formula to isolate $EG$:
$EG=\frac{FG}{\sin(50^\circ)}$

Step3: Substitute values and calculate

Substitute $FG=6$ and $\sin(50^\circ)\approx0.7660$:
$EG=\frac{6}{0.7660}\approx7.8$

Answer:

7.8