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At a certain time of day, a tree has a shadow 50 feet long. At the same time, a 6-foot-tall man stands next to the tree, and his shadow is 30 feet long. What is the height of the tree, in feet?

 Nov 23, 2020
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At a certain time of day, a tree has a shadow 50 feet long. At the same time, a 6-foot-tall man stands next to the tree, and his shadow is 30 feet long. What is the height of the tree, in feet?   

 

This one you can do in your head.  

 

The length of the man's shadow is 5 times his height. 

So the length of the tree's shadow is 5 times its height. 

The tree's shadow is 50 feet long, so the height of the tree is 10 feet

 

For an example of a mathematical proof,

see https://web2.0calc.com/questions/what-is-the-hight-of-the-tree  

.

 Nov 23, 2020

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