Respuesta :
Answer:
25 feet
Step-by-step explanation: 5/3 is 1.6 repeated so you can do 3 times 5 to get the shadow and since we did that to the bottom then we have to do that to the top and it would be 25/15 which is 1.6 repeated as well.
The height of the tree is 25 feet.
Given that,
Andy is 5 ft tall and casts a 3-foot shadow.
At the same time, a tree casts a 15-foot shadow.
We have to determine,
What is the height of the tree?
According to the question,
A proportion comparing the height of each object to the length of the shadow.
Andy is 5 ft tall and casts a 3-foot shadow.
At the same time, a tree casts a 15-foot shadow.
Then,
The height of the tree is,
[tex]= \dfrac{h}{s}\\\\= \dfrac{h}{15} = \dfrac{5}{3}\\\\= 3\times h = 5 \times 15\\\\= 3h = 75\\\\h = \dfrac{75}{3}\\\\h = 25 \ feet[/tex]
Hence, The height of the tree is 25 feet.
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