alainabbyboo22
At a certain time of day, a 5 foot tall man has a 7.5 foot shadow. If a tree is 20 feet tall, what is the length of the shadow of the tree?



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alainabbyboo22
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alainabbyboo22
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A. 30 feet
B. 12 feet
C. 24 feet
D. 15 feet

alainabbyboo22
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or at least could someone tell me what i need to do to find my answer ? do i multiply to get the length ? divide ?

Chlorophyll
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Apply ratio with S is the length of the tree shadow:
S/ 20 = 7.5 / 5
=> S = ...?
@alainabbyboo22 Can you continue?

alainabbyboo22
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what is "S" supposed to be ? i don't get this ..

ganeshie8
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Shadow
its same as x in ur pix

alainabbyboo22
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oh okay . but no , i'm unable to continue because i'm unsure of how to do this . /:

ganeshie8
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\(\frac{S}{20} = \frac{7.5}{5}\)
you need to solve S

ganeshie8
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for that you need to isolate S,
multiply 20 both sides

alainabbyboo22
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S/400 = 150/S

alainabbyboo22
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correct or incorrect ?

Chlorophyll
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You divide it :(

ganeshie8
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\(\frac{S}{20} = \frac{7.5}{5}\)
multiply 20 both sides
\(20*\frac{S}{20} = 20*\frac{7.5}{5}\)

ganeshie8
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does 20 cancel on left side ?

ganeshie8
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\(\cancel{20}*\frac{S}{\cancel{20}} = 20*\frac{7.5}{5}\)

ganeshie8
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simplify right side

Chlorophyll
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@alainabbyboo22 Learn to multiply, will you !