Answer:
x = 4 sqrt(3)
Step-by-step explanation:
x is not to be confused by the mark on the right angle -- X
The function is the cosine of Y which is 30 degrees.
The cosine of 30o is sqrt(3)/2
cos(30) = adjacent side / hypotenuse = sqrt(3) / 2
The adjacent side is 6
cos(30) = 6/ x = sqrt(3) / 2
6/x = sqrt(3) / 2 Cross multiply
x * sqrt(3) = 6 * 2
x * sqrt(3) = 12 divide by sqrt(3)
x = 12 / sqrt(3) Multiply top and bottom by sqrt(3)
x = 12* sqrt(3) / sqrt(3) * sqrt(3)
x = 12 sqrt(3)/ 3 Divide by 3
x = 4 sqrt(3)
