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what is the height of a tree, if a person 5ft. is 108ft from the base

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a person who is five feet tall is standing 108 ft, from the base of a tree, and the tree casts a 120 foot shadow. The persons shadow is 12 feet in length. What is the height of the tree?

asked Mar 1, 2014 in GEOMETRY by andrew Scholar

1 Answer

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Let x = height of the tree

From the diagram ABC and DEC are similar triangles(one inside the other).

From properties of similar triangle corresponding sides are all in the same proportion.


The ratio is  x/5 = 120/12

x/5 = 10

x = 50

Height of the tree is 50 ft.

answered Apr 26, 2014 by david Expert

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