Find the value of x. round to the nearest tenth.

x = 10.2

Step-by-step 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.

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