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A small tree that is 5 feet tall casts a 3-foot shadow, while a building that is 45 feet tall casts a shadow in the same direction. Determine the length of the building's shadow.

A: 9 feet
B: 10 feet
C: 15 feet
D: 27 feet

User Tarulia
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2 Answers

7 votes
the answer would be x=27
User ChrisPadgham
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5 votes
We can use proportions to find the length of the building's shadow. Let x be the length of the building's shadow. Then, we have:

5/3 = 45/x

To solve for x, we can cross-multiply and simplify:

5x = 135

x = 27

Therefore, the length of the building's shadow is 27 feet, which is option D.
User Mheinzerling
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