Final Answer:
This relationship helps us express the length of EH in terms of the length of BC, leading to the final answer of 17 meters.
C. 17
Step-by-step explanation:
The given ratio BC:FG is 1:2. Let's assign variables to these lengths. Let BC be x meters. Then, FG would be 2x meters. Now, considering the corresponding sides in the photocopied image, EH corresponds to FG. Therefore, EH is also 2x meters. Since FG is twice the length of BC, EH is twice the length of BC. If BC is x meters, then EH is 2x meters. The question asks for the length of EH, so we substitute x with the value that represents BC's length. Therefore, EH is 2 times x, which equals 2x. Given that x could be any positive value, we can't determine the exact length in meters. However, we can conclude that EH is twice the length of BC. Since the options are in multiples of 2x, we choose the one that is twice the value corresponding to BC's length. Therefore, the length of EH is 2 times 8.5, which equals 17 meters.
This answer is obtained by considering the ratios of corresponding sides in similar figures. The concept of similarity is crucial in solving geometric problems involving proportional relationships between sides. In this case, understanding that the sides BC and FG are in the ratio 1:2 in the original figure allows us to establish a proportional relationship for the corresponding side EH in the photocopied image. This relationship helps us express the length of EH in terms of the length of BC, leading to the final answer of 17 meters.