The shadow of the tree is 40 feet long and the distance from the top of the tree to the tip of the shadow is 60 feet, so the height of the tree is 44.72 feet.
According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Given that, the length of the shadow of the tree =40 feet and the hypotenuse =60 feet.
To find the height of the tree we need to use the Pythagoras theorem.
Now, [tex]60^{2}=h^{2} +40^{2}[/tex]
⇒[tex]3600=1600+h^{2}[/tex]
⇒[tex]h^{2} =2000[/tex]
⇒[tex]h=\sqrt{2000} =44.72[/tex] feet.
Hence, the height of the tree is 44.72 feet.
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