To solve this problem, we can use something called the law of sines. This is a proportional relationship in which the sine of one angle over the opposite side is equal to the sine of another angle over its opposite side.
sin(a) / a = sin(b) / b = sin(c) / c
To use the law of sines, we will need to figure out the measure of angle C, however.
27 + 132 + C = 180
159 + C = 180
C = 21
Now that we have sides and their opposite angles, we can apply the law of sines.
sin(27) / AC = sin(21) / 26
AC x sin(21) = sin(27) x 26
AC = [ sin(27) x 26 ] / sin(21)
AC = 32.9375
AC (rounded) = 32.9
Answer: AC = 32.9 m
Hope this helps!