Respuesta :

x = base / tan(angle)

x = 9 / tan(20)

x = 24.73

rounded to nearest tenth x = 24.7

The value of x = 24.7

What is tangent angle?

For a right triangle, a tangent angle is,  [tex]tan\theta=\frac{opposite ~ side}{adjecent ~ side}[/tex]

For given example,

Consider tan(20°)

Using the formula of tangent angle,

⇒ [tex]tan(20)=\frac{9}{x}[/tex]

⇒ [tex]0.364=\frac{9}{x}[/tex]

⇒ x = 9/0.364

x = 24.7

Therefore, the value of x = 24.7

Learn more about tangent angle here:

https://brainly.com/question/19486069

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