Question

find the sine of ∠e.

Explanation:

Step1: Recall sine definition for right triangles

For an acute angle in a right triangle, $\sin(\theta) = \frac{\text{opposite side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle E$

Opposite side to $\angle E$ is $FD = 80$, hypotenuse is $FE = 89$.
<Expression>
$\sin(\angle E) = \frac{80}{89}$
</Expression>

Answer:

$\frac{80}{89}$