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? Rou

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.

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