Answer and Step-by-step explanation:
This requires the use of the Sine trig function to solve for x.
The Sine trig function is as follows:
sin(θ) =
![(Opposite Side)/(Hypotenuse)](https://img.qammunity.org/2022/formulas/mathematics/high-school/lb2uabbbshcv3kd1wplweflzzpqwcwqaxw.png)
Plug in the values and solve for x.
sin(60) =
![(x)/(24√(3))](https://img.qammunity.org/2022/formulas/mathematics/college/g8ti3jyvhtcejdxioccfj34a2zdhnglwdg.png)
Multiply each side by
![24√(3)](https://img.qammunity.org/2022/formulas/mathematics/college/ztt9ohrbeoy6tygsuzu8boghfiudgjqum9.png)
![24√(3) (sin(60)) = x\\\\\\\\36 = x](https://img.qammunity.org/2022/formulas/mathematics/college/vf6coq499ecajckltvo35bkux5645igkp5.png)
36 is equal to x.
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