Length of the side CD is 12.8 feet.
Explanation.
Given:
The length of the side DE = 12 feet.
Angle C = 70 degree.
Angle E = 90 degree.
The objective is to find the length CD.
Consder the side CD as hypotenuse.
For the relationship between oposite side and hypotenuse side use trigonometric ratio of sin theta.
[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 70^0=\frac{12}{x} \\ x=\frac{12}{\sin70^0} \\ x=12.8 \end{gathered}[/tex]Hence, the length of CD is 12.8 feet.
