At sunset, a tree projects a shade that is 2.5 meters of length. The distance from the tree top to the most distant end of the shade is 4 meters. What is height of the tree?
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Given :-
- Tree projects the shade of = 2.5 m
- Distance from the tree top to the most distant end of the shade is 4 meters.
To find :-
- Height of the tree.
Let there is a right angled triangle :-
- With Base b, which is shade of the tree.
- Its height a , which is height of the tree
- Hypotenuse h, which is distance from the top of the tree to the end of the shade.
So, according to the question:-
- Since the triangle is right, we apply the Pythagorean theorem to calculate its height.
Therefore, side is 3.12 m.
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