Final answer:
The height of the poster cannot be determined based on the information given.
Step-by-step explanation:
The height of the poster can be calculated using the concept of proportions. Since the width of the poster is 12 inches, we can set up a proportion using the original dimensions of the picture and the dimensions of the poster: Picture Width / Picture Height = Poster Width / Poster Height. Plugging in the known values, we get: 8 inches / Picture Height = 12 inches / Poster Height. Cross-multiplying and solving for Poster Height gives us: Poster Height = (Picture Height * Poster Width) / Picture Width. In this case, the Picture Height is not given, so we cannot determine the height of the poster. Therefore, the answer is not provided among the given options.