A floodlight red light at ground level Shines on a 4 ft tall Bush that is 6 ft away the bush cast a shadow on a building that is 24 feet away from it what is the height of the Shadow

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Grade: Education Subject: mathematics
A floodlight red light at ground level Shines on a 4 ft tall Bush that is 6 ft away the bush cast a shadow on a building that is 24 feet away from it what is the height of the Shadow
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Set up the proportion as follows: [tex]\frac{bush (height)}{bush (length)} = \frac{building (height)}{building (length)}[/tex], then cross multiply to solve.

[tex]\frac{4}{6} = \frac{x}{24}[/tex]

4(24) = 6(x)

4(4) = x         (divided both sides by 6)

16 = x

Answer: 16 ft