Answer:
8.73
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,
![tan\theta= (Opposite)/(Adjacent)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ff6b85hkfo0x8a62e3zk9vugzkuoko38dy.png)
![Tan\ 20= (x)/(24)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bjrmkfpvwdfdtgpk4sjv0s3kom8js898tw.png)
Using the value of tan 20 degree
⇒
![0.3639= (x)/(24)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7h903ogcw0y8lbj2qtfvrcjghsyblnrstz.png)
Multiplying both side by 24
⇒
![0.3639* 24= x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/dgq85kily5vgfpcz5hfebobplm4ls6rx7o.png)
∴
![x= 8.73](https://img.qammunity.org/2021/formulas/mathematics/middle-school/nu2unvzykudto5fq2gzvzmi2kzzj5h3zc7.png)
Hence, the value of x is 8.73.