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Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Right triangle with hypotenuse labeled 11 and one leg labeled x. The angle between the leg labeled x and the hypotenuse is equal to 22 degrees.

(2 points)

1 answer

To find the value of x, we can use the trigonometric ratio cosine since we have the adjacent side and the hypotenuse.

cos(22°) = adjacent/hypotenuse
cos(22°) = x/11

To solve for x, multiply both sides by 11:
11 * cos(22°) = x
x ≈ 10.1

Therefore, the value of x is approximately 10.1 when rounded to the nearest tenth.