Question

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

Answer 1

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.