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?

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

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agaue agaue · Answer 2 · 2019-10-22T08:45:15+02:00

Answer:

The second tree is 26.67 foot tall.

Step-by-step explanation:

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

[tex]\texttt{Ratio of original height to shadow height =}\frac{40}{30}\\\\\texttt{Ratio of original height to shadow height =}\frac{4}{3}[/tex]

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

[tex]\texttt{Original height = }\frac{4}{3}\times 20=26.67foot[/tex]

The second tree is 26.67 foot tall.