Answer:
[tex]\huge\boxed{D)\ 14.4}[/tex]
Step-by-step explanation:
Use a cosine:
[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]
We have:
[tex]\theta=32^o,\ adjacent=x,\ hypotenuse=17[/tex]
[tex]\cos32^o\approx0.848[/tex]
Substitue:
[tex]\cos32^o=\dfrac{x}{17}\\\\\dfrac{x}{17}=0.848\qquad\text{multiply both sides by 17}\\\\17\!\!\!\!\!\diagup\cdot\dfrac{x}{17\!\!\!\!\!\diagup}=(17)(0.848)\qquad\text{cancel 17}\\\\x=14.416\to x\approx14.4[/tex]
