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Geometry in the Trees Real World Similar Triangles 1. Campsites Potomac (P) and Glenville (G) are on opposite sides of the lake. A survey crew made the measurements shown on the diagram below. What is the distance between the two campsites? 2. What is the height of the tree below to the nearest foot? 3. Ruthie wanted to measure the height of the school’s flagpole. She placed a mirror on the ground 48 feet from the flagpole. She then walked backwards until she could see the top of the flagpole in the mirror. Her eyes were 5 feet above the ground and she was 12 feet from the mirror. Using similar triangles, draw a diagram, and find the height of the flagpole to the nearest tenth of a foot. 4. A man 6 feet tall casts a 4 foot shadow. At the same time a tree casts a 12 foot shadow. How tall is the tree? Geometry in the Trees Similar Triangles Student Example Answers 1. 42.3 m 2. 80 feet 3. 20 feet. Check students’ drawings. 4. 18 feet
