Answer:
[tex]\huge\boxed{x=14.2}[/tex]
Step-by-step explanation:
Use a cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have:
[tex]adjacent=12\\hupotenuse=x\\measure\ of\ angle=32^o[/tex]
Look at the picture or use the calculator.
[tex]\cos32^o=0.8480[/tex]
Substitute:
[tex]0.848=\dfrac{12}{x}\\\\\dfrac{0.848}{1}=\dfrac{12}{x}[/tex]
cross multiple
[tex]0.848x=12[/tex]
divide both sides by 0.848
[tex]x=\dfrac{12}{0.848}\\\\x=14.2[/tex]
