To solve this problem, we need to determine the height of the statue, denoted by $x$, using the information given in the diagram and applying similar triangles. However, the diagram needs to show more dimensions or angles explicitly, which would allow us to set up a proportion based on the concept of similar triangles.

Without specific measurements or angles provided, let's consider possible information that might typically be present:

1. Observer's height or shadow length: Often, such problems provide the height of the observer or the length of their shadow for similar triangle calculations.
2. Distance between the observer and the base of the statue: This could help in creating a proportion with the observer's shadow or the height of the observer to the height of the statue.

Please let me know if you can provide any additional details about dimensions or angles. Based on the options given (200', 100', 20', 15'), it seems the answer may be within a reasonable estimate if similar triangle properties are confirmed.

Alternatively, I could provide further guidance on the general steps if there are no other details available.

Questions for deeper understanding:

1. Do you have any information on the height or distance of the observer?
2. Are there any angles or measurements visible in the full diagram that might not be in the uploaded portions?
3. Could we assume that the problem uses a certain common height or distance?
4. Is there any context given in the textbook or problem set about typical dimensions for similar problems?
5. Does the diagram specify any distances or ratios directly?

Tip: In problems involving similar triangles, always look for corresponding sides and angles that help set up a proportional relationship.