SOLUTION: If a 30-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 36 meters tall? I believe I am setting up this problem correctly but

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Question 1183113: If a 30-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 36 meters tall?
I believe I am setting up this problem correctly but I keep getting it wrong...
h/50 =30/36 h=30*50/36 h=41.66 meters tall. This is what I keep getting for the meters and it is saying it is wrong. Please help.

Answer by ikleyn(52878) About Me  (Show Source):
You can put this solution on YOUR website!
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If a 30-meter flagpole casts a shadow that is 50 meters long, how long is the shadow cast by a tree that is 36 meters tall?
I believe I am setting up this problem correctly but I keep getting it wrong...
h/50 =30/36 h=30*50/36 h=41.66 meters tall. This is what I keep getting for the meters and it is saying it is wrong. Please help.
~~~~~~~~~~~~~~~~~~


            Your setup is incorrect.

            For correct setup and correct solution,  see my post below.


Use the proportions 

    Flagpole_height%2FFlagpole_shaddow = the_tree_height%2Fthe_three_shadow


With the numbers, it is

    30%2F50 = 36%2Fx


From the proportion,  x = %2850%2A36%29%2F30 = %285%2A36%29%2F3 = 5*12 = 60  meters.    ANSWER

Solved and explained.

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On proportions,  see the lessons
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