This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Step 1: Draw a diagram and label the known values. Let A be the position of the woman at the window, and B be the foot of the building. So, the height of the building is . Let D be the foot of the flag pole, and C be the top of the flag pole. The horizontal distance between the building and the flag pole is . Draw a horizontal line AE from A, parallel to BD, such that E is on the vertical line passing through C and D. This forms a rectangle ABDE. Therefore, . And .
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Draw a diagram and label the known values. Let A be the position of the woman at the window, and B be the foot of the building.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.