Answer:
x ~= 10.2
Explanation:
You have a right triangle here, so you can use trigonometry. The hypotenuse is given, that's the longest side, 11. The adjacent side is the side next to the angle (the 22°). The trig function that uses both hypotenuse and adjacent side is cosine.
cos 22° = adj/hyp
cos 22° = x/11
Multiply both sides by 11.
11 cos 22° = x
You have to do this on a calculator.
10.1990224...=x
Round to the nearest tenth.
10.2 ~= x