what is the value of x, rounded to the nearest degree?

Answer:
71
Step-by-step explanation:
You us SOH CAH TOA
In this case you use SOH also called cosine.
This means cos(x)=adjacent/hypotnuse
Now you plug in the numbers
cos(x)=4/12
You put this in your calculator and get
70.5287794
Which then can be rounded to
71 degrees