Answer: [tex]x=11.47[/tex]
Step-by-step explanation:
Given the angle of 55 degrees, you know that the adjacent side is "x" and the length of the hypotenuse is 20.
Therefore, you need to remember the following identity:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Then, knowing that:
[tex]\alpha=55\°\\adjacent=x\\hypotenuse=20[/tex]
You need to substitute these values into[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]:
[tex]cos(55\°)=\frac{x}{20}[/tex]
Now, you can solve for "x":
[tex]20*cos(55\°)=x\\x=11.471[/tex]
Rounded to the nearest hundreth:
[tex]x=11.47[/tex]
