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find cd. write your answer as an integer or as a decimal rounded to the…

Question

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

Explanation:

Step1: Identify sine relationship

$\sin(\theta) = \frac{\text{opposite}}{\text{hypotenuse}}$
Here, $\theta = 34^\circ$, opposite side $= CD$, hypotenuse $= ED = 9$

Step2: Rearrange to solve for CD

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

Step3: Calculate the value

$\sin(34^\circ) \approx 0.5592$, so $CD \approx 9 \times 0.5592 = 5.0328$

Step4: Round to nearest tenth

$CD \approx 5.0$

Answer:

$5.0$