Answer:
Height of second tree = 26.67 foot
Step-by-step explanation:
A tree that is 40 feet tall casts a 30-foot shadow
Height of tree = 40 feet
Height of shadow of tree = 30 feet
[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=\frac{40}{30}=1.333[/tex]
So ratio of original height to shadow height is 1.333.
Now we need to find how tall is the another tree, if its shadow is 20 feet.
[tex]\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=1.333\\\\\frac{\texttt{Height of tree}}{20}=1.333\\\\\texttt{Height of tree}=1.333\times 20=26.67foot[/tex]
Height of second tree = 26.67 foot
