Answer:
x=24
y = 8 sqrt(3)
Explanation:
Since this is a right triangle, we can use sin and cos
sin 30 = opposite/ hypotenuse
sin 30 = y/ 16 sqrt(3)
Multiply each side by 16 sqrt(3)
16 sqrt(3) * sin 30 = y
16 sqrt(3) * 1/2 = y
8 sqrt(3) = y
cos 30 = adjacent/ hypotenuse
= x/16 sqrt(3)
Multiply each side by 16 sqrt(3)
16 sqrt(3) cos 30 = x
16 sqrt(3) * (sqrt(3)/2) = x
8 * sqrt(3)*sqrt(3)
8 * 3 = x
24 =x