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

so the tree is 40 ft and then the shadow is 30 so then do 40 -30 = 10 ft difference so then for the second tree do 20 + 10 = 30 ft because the 10 ft difference so the answer is 30 ft tall

Answer 2

The second tree is 26.67 foot tall.

Explanation:

A tree that is 40 feet tall casts a 30-foot shadow.

`\texttt{Ratio of original height to shadow height =}(40)/(30)\\\\\texttt{Ratio of original height to shadow height =}(4)/(3)`

Now we need to find original height of a tree whose shadow is 20 foot.

Original height = Ratio of original height to shadow height x Height of shadow

`\texttt{Original height = }(4)/(3)* 20=26.67foot`

The second tree is 26.67 foot tall.