Answer:
The height of the tree is 50 feet.
Step-by-step explanation:
Consider the provided information.
It is given that a 20 foot flagpole casts a 10 foot shadow. At the same time of day, if a nearby tree casts a 25 foot shadow.
Let the height of the tree is [tex]x[/tex].
The flagpole and its shadow and tree and its shadow form similar triangles.
We know that the corresponding sides are in proportion in similar triangles.
[tex]\frac{20}{10}=\frac{x}{25}[/tex]
[tex]\frac{20\times 25}{10}= x[/tex]
[tex]x=50[/tex]
Hence, the height of the tree is 50 feet.
