Answer:
[tex]x=15.3[/tex]
Step-by-step explanation:
In right triangles only:
The sine of an angle is equal to its opposite side divided by the hypotenuse. (o/h)
The cosine of an angle is equal to its adjacent side divided by the hypotenuse. (a/h)
The tangent of an angle is equal to its opposite side divided by its adjacent side. (o/a)
Therefore, we have the following equation:
[tex]\sin 58^{\circ}=\frac{x}{18},\\x=18\sin 58^{\circ}\approx \boxed{15.3}[/tex]
Alternative:
[tex]\cos 32^{\circ}=\frac{x}{18},\\x=18\cos32^{\circ}\approx \boxed{15.3}[/tex]
