Answer:
7.0
Step-by-step explanation:
When doing trigonometry, remember SOH-CAH-TOA...
Sine : Opposite/Hypotenuse
Cosine : Adjacent/Hypotenuse
Tangent : Opposite/Adjacent
In this figure, we are given the measure of a 23° angle, and two sides that are opposite of the angle, and the hypotenuse.
This means we need to use sine:
[tex]sin(23)=\frac{x}{18}[/tex]
Multiply both sides by 18:
[tex]18sin(23)=x[/tex]
[tex]18(0.391)=x\\x=7.038\\x\approx7.0[/tex]
