SOLUTION: To find the height of a tree, a group of Girl Scouts devised the following method. A girl walks toward the tree along its shadow until the shadow of the top of her head coincides

Algebra ->  Length-and-distance -> SOLUTION: To find the height of a tree, a group of Girl Scouts devised the following method. A girl walks toward the tree along its shadow until the shadow of the top of her head coincides      Log On


   



Question 358026: To find the height of a tree, a group of Girl Scouts devised
the following method. A girl walks toward the tree along
its shadow until the shadow of the top of her head coincides
with the shadow of the top of the tree. If the girl is
150 cm tall, her distance to the foot of the tree is 15 m, and
the length of her shadow is 3 m, how tall is the tree?

Answer by solver91311(24713) About Me  (Show Source):
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If the girl is 15 meters from the tree and the girl's shadow is 3 meters, then the total length of the tree's shadow must be 18 meters. The tree's shadow is 6 times longer than the girl's shadow so by similar triangles, the tree must be 6 times taller than the girl.


John

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