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?

Question

anonymous · Answer

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ranga · Answer

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

ranga · Answer

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ranga · Answer

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

anonymous · Answer

I got 20.9!

ranga · Answer

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

anonymous · Answer

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

ranga · Answer

I can try.