Respuesta :

Answer:

8.73

Step-by-step explanation:

Given right angle triangle have adjacent leg as 24.

Now finding the length of opposite leg of triangle.

Using the tangent rule to find the value of x

We know, [tex]tan\theta= \frac{Opposite}{Adjacent}[/tex]

[tex]Tan\ 20= \frac{x}{24}[/tex]

Using the value of tan 20 degree

⇒ [tex]0.3639= \frac{x}{24}[/tex]

Multiplying both side by 24

⇒[tex]0.3639\times 24= x[/tex]

∴[tex]x= 8.73[/tex]

Hence, the value of x is 8.73.

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