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Mathematics 7 Online
OpenStudy (anonymous):

Help..?At a certain time of day, a 5.5 foot tall man has a 6 foot shadow. If a tree is 19.25 feet tall, what is the distance between the tree and the man?

OpenStudy (anonymous):

OpenStudy (ranga):

They are similar triangles. The sides of the triangles will be proportional.

OpenStudy (ranga):

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OpenStudy (ranga):

Triangles ABC and DEC are similar. AB / BC = DE / EC Substitute and solve for BC.

OpenStudy (anonymous):

I got 20.9!

OpenStudy (ranga):

AB/BC = DE/EC BC = AB/DE * EC = 19.25 / 5.5 * 6.0 = 21 feet

OpenStudy (anonymous):

Thank you :) If you don't mind, can you help me out with a different geometry question?

OpenStudy (ranga):

I can try.

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