find de.\nwrite your answer as an integer or as a decimal rounded to the nearest tenth.\n$de = \\square$

Answer:

$5.0$

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$

Step2: Substitute known values

$\sin(34^\circ) = \frac{DE}{9}$

Step3: Solve for DE

$DE = 9 \times \sin(34^\circ)$

Step4: Calculate the value

$DE \approx 9 \times 0.5592 = 5.0328 \approx 5.0$