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a tree casts a shadow 4 ft. long while a house casts a shadow 2 and a half feet long. if the house is 26 ft. high, how tall is the tree? Round to the nearest foot.

 Jun 11, 2015

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 #1
avatar+26400 
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a tree casts a shadow 4 ft. long while a house casts a shadow 2 and a half feet long. if the house is 26 ft. high, how tall is the tree? Round to the nearest foot.

$$\dfrac{ \mathrm{tree} } { \mathrm{house} }
= \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }
\qquad \mathrm{house}=26 \mathrm{~ft.}\\\\
\mathrm{tree} = \mathrm{house} \cdot \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }\\\\
\mathrm{tree} = 26 \mathrm{~ft.} \cdot \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }\\\\
\mathrm{tree} = 41.6 \mathrm{~ft.} \\\\
\mathrm{tree} = 42 \mathrm{~ft.} \mathrm{~~Round~ to~ the~ nearest ~foot}$$

 

 Jun 12, 2015
 #1
avatar+26400 
+5
Best Answer

a tree casts a shadow 4 ft. long while a house casts a shadow 2 and a half feet long. if the house is 26 ft. high, how tall is the tree? Round to the nearest foot.

$$\dfrac{ \mathrm{tree} } { \mathrm{house} }
= \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }
\qquad \mathrm{house}=26 \mathrm{~ft.}\\\\
\mathrm{tree} = \mathrm{house} \cdot \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }\\\\
\mathrm{tree} = 26 \mathrm{~ft.} \cdot \dfrac{ 4 \mathrm{~ft.} }{ 2.5 \mathrm{~ft.} }\\\\
\mathrm{tree} = 41.6 \mathrm{~ft.} \\\\
\mathrm{tree} = 42 \mathrm{~ft.} \mathrm{~~Round~ to~ the~ nearest ~foot}$$

 

heureka Jun 12, 2015

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