Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the...

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Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the denominator rationalized.
x = ____ (Simplify your answer. Type an integer or a simplified fraction.)

SnapAndSolve AI · Accepted Answer

The triangle shown is a 30-60-90 triangle. In a 30-60-90 triangle, the sides are in the ratio 1 : √3 : 2. The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3 times the side opposite the 30° angle.

Given that the side opposite the 30° angle is 11, the hypotenuse is 2 * 11 = 22.
The side opposite the 60° angle (x) is 11√3.

Therefore, x = 11√3.

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Find the value of variable x. If your answer is not an integer, write it in simplest radical form with the...

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