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**Question 6 (5 points):**

"A man places a mirror on the ground and measures the reflections of the top of a flagpole as seen in the figure below. The two triangles in the figure are similar. Find the height \( h \) of the flagpole. Assume that the two triangles are proportional to one another."

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The diagram depicts a man, a mirror, and the flagpole, forming two triangles. These triangles are labeled as similar, meaning their corresponding sides are proportional. Typically, in such problems, we would use the property of similar triangles to set up a proportion between the man's height, the distance from the man to the mirror, and the flagpole's height and distance from the mirror.

Would you like me to help set up the equation and solve it? Also, I could use more specific measurements from the diagram if they are visible. Let me know if you need clarification or assistance!

A man places a mirror on the ground and measures the reflections of the top of a flagpole as seen in the figure below. The two triangles in the figure are similar. Find the height (h) of the flagpole. Assume that the two triangles are proportional to one another.

Explore how to calculate the height of a flagpole using similar triangles. This tutorial covers the use of proportional relationships within similar geometric figures and applies Thales' theorem to solve real-world problems.

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