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.
