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Answer:
[tex]CD\approx0.2[/tex]
Step-by-step explanation:
By the tangent ratio, [tex]tanC=\frac{DB}{CD}[/tex]. Substituting the given values into this equation gives us:
[tex]tan83[/tex]° [tex]= \frac{1.3}{CD}[/tex]
[tex]CD*tan83[/tex]° [tex]=1.3[/tex] (Multiply both sides of the equation by [tex]CD[/tex])
[tex]CD=\frac{1.3}{tan83\textdegree}[/tex] (Divide both sides of the equation by [tex]tan83\textdegree[/tex])
[tex]CD=0.15962\approx0.2[/tex]
Hope this helps!