Respuesta :

Answer:

23. [tex]\frac{4\sqrt{3} }{3}[/tex]

24. [tex]\frac{7\sqrt{3}}{3}[/tex]

25. [tex]6\sqrt{3}[/tex]

26. [tex]\frac{10\sqrt{3} }{3}[/tex]

27.  [tex]14[/tex]

28. [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

To solve these i used SOHCAHTOA

[tex]sin=\frac{opposite}{adjacent}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent}[/tex]

23.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{4}[/tex]

[tex]4*tan(30)=x[/tex]

[tex]\frac{4\sqrt{3} }{3}[/tex]

24.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{7}[/tex]

[tex]7*tan(30)=x[/tex]

[tex]\frac{7\sqrt{3}}{3}[/tex]

25.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{18}[/tex]

[tex]18*tan(30)=x[/tex]

[tex]6\sqrt{3}[/tex]

26.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{10}[/tex]

[tex]10*tan(30)=x[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

27.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{14\sqrt{3} }[/tex]

[tex](14\sqrt{3}) *tan(30)=x[/tex]

[tex]14[/tex]

28.

Find the missing side using Tangent

[tex]tan(30)=\frac{x}{12}[/tex]

[tex]12*tan(30)=x[/tex]

[tex]4\sqrt{3}[/tex]

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