Answer:
[tex]x=21[/tex]
Step-by-step explanation:
See attachment for triangle
The relationship between length x, length 24 and angle 30 is as follows:
[tex]\cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]
In this question;
[tex]Adjacent = x[/tex]
[tex]Hypotenuse= 24[/tex]
[tex]\theta = 30[/tex]
Substitute these values in the above expression,
[tex]\cos(30) = \frac{x}{24}[/tex]
Multiply through by 24
[tex]24 * \cos(30) = \frac{x}{24} * 24[/tex]
[tex]24 * \cos(30) = x[/tex]
Reorder:
[tex]x = 24 * \cos(30)[/tex]
[tex]x = 24 * 0.8660[/tex]
[tex]x = 20.784[/tex]
[tex]x=21[/tex] --- approximated
