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a length of top is stretched between the top edge of a building and a stake in the ground the head of the stake is at ground level. the rope also touches a tree that is growing half way between the stake and the building. if the tree is 38 ft tall how tall is the building?

a length of top is stretched between the top edge of a building and a stake in the ground the head of the stake is at ground level the rope also touches a tree class=

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MrRoyal

The relationship between the rope, the building, the tree and the ground is an illustration of similar triangles and equivalent ratios.

The building is 76ft tall

The height of the tree is given as:

[tex]Height = 38ft[/tex]

The position of the tree is halfway between the building and the stake.

From the figure, the rope touches the top of the building, and the top of the tree.

This means that: the height of the building is twice the height of the tree.

So, we have:

[tex]Building=2\times 38ft[/tex]

[tex]Building=76ft\\[/tex]

Hence, the building is 76ft tall

Read more about similar triangles at:

https://brainly.com/question/14285697

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