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HEIGHT OF A TREE A tree casts a shadow of 29 feet at the same time as a vertical yardstick casts a shadow of 2.5 feet. Find the height of the tree.
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Chapter 9
An Introduction to Geometry
Section 5
Congruent Triangles and Similar Triangles
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So if two similar triangles here, we're gonna find the corresponding parts. So the 2.5 feet corresponds to the 29 feet, whereas the three feet corresponds to the height that we don't know. So let's go ahead. And, um, we take the small triangle we scale up, we find a multiplier that's going to be multiplied by 2.5 to get 29 which is 11.6, and we're gonna apply that same scale factor. And we're gonna stretch the height of this triangle by 11.6, finding that the height of this larger triangle is 34.8 feet.
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