Question

Solve for x. round to the nearest hundredth if necessary.

Answer 1

Answer:
`x=11.47`

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:

`cos\alpha=(adjacent)/(hypotenuse)`

Then, knowing that:

`\alpha=55\°\\adjacent=x\\hypotenuse=20`

You need to substitute these values into
`cos\alpha=(adjacent)/(hypotenuse)`:

`cos(55\°)=(x)/(20)`

Now, you can solve for "x":

`20*cos(55\°)=x\\x=11.471`

Rounded to the nearest hundreth:

`x=11.47`