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

In ∆CDE, the measure of < E =90°, DE=2.1 feet, and CD=4.4 feet. find the measure-example-1

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


\cos x=(|DE|)/(|DC|)=(2.1)/(4.4)

thus


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

Therefore,

x = 61.5

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