Answer:
[tex]x=23.8[/tex]
Step-by-step explanation:
Trigonometric ratios are represented by the following equations:
[tex]\begin{gathered} sin(angle)=\frac{opposite}{hypotenuse} \\ cos(angle)=\frac{adjacent}{hypotenuse} \\ tan(angle)=\frac{opposite}{adjacent} \end{gathered}[/tex]
Then, to solve for x use the sin relationships since it is given the angle and the hypotenuse of the right triangle, solve for the opposite side:
[tex]\begin{gathered} sin(48)=\frac{x}{32} \\ x=32*sin(48) \\ x=23.8\text{ } \end{gathered}[/tex]
