Respuesta :

Answer:

CD = 2 units

Step-by-step explanation:

in the given right triangle ΔCDE,

By applying tangent rule,

tan(∠E) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

            = [tex]\frac{\text{CD}}{\text{DE}}[/tex]

tan(30)° = [tex]\frac{\text{CD}}{2\sqrt{3}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{\text{CD}}{2\sqrt{3}}[/tex]

CD = [tex]\frac{2\sqrt{3}}{\sqrt{3}}[/tex]

CD = 2 units

Therefore, CD = 2 unit will be the answer.

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