Final answer:
To find the length of AB, we can use the Law of Sines and the given angles. Applying the Law of Sines, we find that AB is equal to 6 cm to the nearest mm.
Step-by-step explanation:
To find the length of AB, we can use the Law of Sines. First, let's find angle ABD using the angle BDA and angle BDC. angle ABD = 180° - angle BDA - angle BDC = 180° - 52° - 34° = 94°. Now, we can apply the Law of Sines: AB/sin(94°) = AD/sin(angle ADB). Plugging in the values, we get AB/sin(94°) = 4/sin(71°). Cross-multiplying, we find AB = (4*sin(94°))/sin(71°) = 6 cm to the nearest mm. Therefore, the correct answer is option b) 6 cm.