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0 votes
How high is a tree that cast a26ft shadow at the same time a 6ft post casts a shadow which is 11ft long

User Gotcha
by
8.0k points

1 Answer

7 votes

Answer:


14(2)/(11) ft

Explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:


(x)/(26) =(6)/(11)

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =
14(2)/(11)

User Hartmut
by
8.1k points

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