Answer:
x = 10.2
Explanation:
Here we have a right triangle with hypotenuse 11, angle 22° and adjacent side x. Our task is to find x to the nearest tenth.
The cosine function nicely connects the hypotenuse and the adjacent side:
adjacent side
cos 22° = ------------------------
hypotenuse
We solve for the adjacent side (x) by multiplying both sides of this equation by "hypotenuse:"
x = adjacent side = 11*cos 22 = 11(0.9272 radian).
Performing the indicated multiplication, we arrive at:
x = 10.1990, or, rounded to the nearest tenth, x = 10.2.