find ef.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nef = \nsubmit
find ef.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\nef = \nsubmit
Answer
Explanation:
Step1: Identify the trigonometric relation
In right - triangle $EFG$ with $\angle F = 31^{\circ}$ and side $EG = 1.8$, we use the sine function. $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta = 31^{\circ}$, the opposite side to $\angle F$ is $EG$ and the hypotenuse is $EF$. So, $\sin31^{\circ}=\frac{EG}{EF}$.
Step2: Solve for $EF$
We can rewrite the formula as $EF=\frac{EG}{\sin31^{\circ}}$. Given $EG = 1.8$ and $\sin31^{\circ}\approx0.515$. Then $EF=\frac{1.8}{0.515}\approx3.5$.
Answer:
$3.5$