Question

In ACDE, the measure of angle E=90°, the measure of angle C=70°, and DE = 12 feet. Find thelength of CD to the nearest tenth of a foot.DX1270°Ec

Answer 1

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.

$\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 70^0=\frac{12}{x} \\ x=\frac{12}{\sin70^0} \\ x=12.8 \end{gathered}$

Hence, the length of CD is 12.8 feet.