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Multiple choice answer

C. 9.24

Step-by-step explanation:

x is the height here, looking at the triangle.

To find x, however, we first have to find the hypotenuse. To formula for that is b (side we know)/cos(α) (angle we know). Substitute b for 6, and α for 57.

6/cos(57) would equal about 11.0647.

Now back to x. To figure that out, subtract 6² from 11.01647². Then, find the square root of that.

x = √11.01647² - 6²

x = √121.3626112609 - 36

x = √85.3626112609

x = 9.23918888544335

x ≈ 9.24, so C is the answer.