Question

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?

Answer 1

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

How tall is the tree?

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:

https://brainly.com/question/14285697

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