Question

In ∆CDE, the measure of < E =90°, DE=2.1 feet, and CD=4.4 feet. find the measure of

Answer 1

The figure is a right-angled triangle, with side DE adjacent to That is,

$\cos x=\frac{|DE|}{|DC|}=\frac{2.1}{4.4}$

thus

$\begin{gathered} \cos x=\frac{21}{44} \\ \text{ this implies that} \\ x=\cos ^{-1}\frac{21}{44}\approx61.5 \end{gathered}$

Therefore,

x = 61.5