Question

A tree that is 40 feet tall casts a 30-foot shadow. At the same time, another tree casts a 20-foot shadow. How tall is the second tree?

Answer 1

30 feet tall since the other tree is 40 an only cast a 30 foot shadow just add ten to the other shadow

Answer 2

Height of second tree = 26.67 foot

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

`\frac{\texttt{Height of tree}}{\texttt{Height of shadow of tree}}=(40)/(30)=1.333`

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.

`\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* 20=26.67foot`

Height of second tree = 26.67 foot