Question

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

Explanation:

Step1: Identify trigonometric ratio

We use sine: $\sin(\theta)=\frac{\text{opposite}}{\text{hypotenuse}}$, where $\theta=42^\circ$, opposite side is $CD$, hypotenuse $ED=9$.

Step2: Rearrange to solve for CD

$CD = 9 \times \sin(42^\circ)$

Step3: Calculate the value

$\sin(42^\circ) \approx 0.6691$, so $CD \approx 9 \times 0.6691 = 6.0219$

Step4: Round to nearest tenth

Round $6.0219$ to 1 decimal place.

Answer:

$6.0$