Answer:

Step-by-step explanation:
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
tan θ = opp/adj
tan 30 = y/(4√3)
y = 4√3 tan 30
y = 4
I believe it is 1, but i'm not completely sure.
What do u need the absolute value on?
Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.
Step-by-step explanation: We can use cosine to find the hypotenuse. 
Using a calculator x is about 13.05
Using tangent we can find the length opposite of <C

Using a calculator x would be about 8.4