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Marysya12 [62]
2 years ago
7

The tree in jacob's yard casts a shadow that is 27 feet long. jacob is 5 feet tall and casts a shadow that is 4.5 feet long. the

two triangles formed are similar because the angle to the sun is the same. what is the height of the tree?
SAT
1 answer:
Zepler [3.9K]2 years ago
3 0

By using the fact that the two triangles are similar, we will conclude that the height of the tree is 30ft

<h3>How tall is the tree?</h3>

If the two triangles are similar, then the quotient between the height and the shadow length must be the same for both of them.

Then if H is the height of the tree we can write:

H/27ft = 5ft/4.5ft

Now we can solve this for H, we will get:

H = (5ft/4.5ft)*27ft = 30ft

So we can conclude that the height of the tree is 30ft.

If you want to learn more about similar triangles, you can read:

brainly.com/question/14285697

#SPJ1

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