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

Explanation:

Step1: Identify the trigonometric relation

In right - triangle (CDE), we know the hypotenuse (DE = 7) and we want to find the side (CD) opposite to the angle (\angle E=59^{\circ}). We use the sine function since (\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}). (\sin E=\frac{CD}{DE})

Step2: Substitute the known values

We know that (E = 59^{\circ}) and (DE = 7). So (\sin(59^{\circ})=\frac{CD}{7}). (CD = 7\times\sin(59^{\circ}))

Step3: Calculate the value

We know that (\sin(59^{\circ})\approx0.857). Then (CD = 7\times0.857 = 5.999\approx6.0)

Answer:

(6.0)