Question

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

Answer 1

Answer: $x=11.47$

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:

$cos\alpha=\frac{adjacent}{hypotenuse}$

Then, knowing that:

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

 You need to substitute these values into$cos\alpha=\frac{adjacent}{hypotenuse}$:

 $cos(55\°)=\frac{x}{20}$

Now, you can solve for "x":

$20*cos(55\°)=x\\x=11.471$

Rounded to the nearest hundreth:

$x=11.47$