We have the triangle and we must find the value of x.
To find the value of x we need to use the Law of Sines
- a is the opposite side to the angle A
- b is the opposite side to the angle B
- c is the opposite side to the angle C
So, seeing the triangle we can take values as
angle A = 27°, so a = 11
angle B = 34°, so b = x
Replacing in the law of Sines

Finally, we must solve the equation for x

ANSWER:
x = 13.5