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WASHINGTON, D.C. The Washington Monument -casts a…

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Problem 85 Hard Difficulty

HEIGHT OF A TREE The tree shown below casts a shadow 24 feet long when a man 6 feet tall casts a shadow 4 feet long. Find the height of the tree.

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Prealgebra

Chapter 9

An Introduction to Geometry

Section 5

Congruent Triangles and Similar Triangles

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Video Transcript

So we're working with two similar triangles again. Um, the man cast a shadow of four feet, and the traesch casts a shadow of 24 feet. So these two triangles here are made that are similar, and so we're gonna find the corresponding parts. This four foot corresponds to the 24 foot shadow, and the height of the man corresponds the height of the tree s. So we're gonna build those ratios. Weaken, say, six is to the height of the tree, as the four foot shadow is to the height of the shadow of the tree. Now, it's really important that we have, um, the triangle that's formed by the man both on top and the triangle that's formed by the tree on the bottom. Okay, so we can dio scale factor to find the unknown. The heights of four times six is 24 so six times six is 36. So we know that the height of the tree is

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Alan S. Tussy, R. David Gustafson, Diane R. Koenig

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WASHINGTON, D.C. The Washington Monument -casts a…

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Prealgebra

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Watch More Solved Questions in Chapter 9

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Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Prealgebra

This textbook answer is only visible when subscribed! Please subscribe to view the answer

Prealgebra

Alan S. Tussy, R. David Gustafson, Diane R. KoenigPrealgebra

Alan S. Tussy, R. David Gustafson, Diane R. Koenig

Prealgebra