Question 359360: To find the height of a tree a group of girlsscouts devised the following method. A girl walks towards 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 lenght of her shadow is 3 m, how tall is the tree?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A girl walks towards 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 lenght of her shadow is 3 m, how tall is the tree?
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Draw the picture.
You have two overlapping right triangles with proportional sides.
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tree height/shadow of tree = girl height/shadow of girl
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h/(15+3) = 1.5/3
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h/18 = 1/2
height of the tree = 9 meters
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Cheers,
Stan H.
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