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Mathematics 23 Online
OpenStudy (anonymous):

In the diagram below, a 5 foot tall girl is standing 24 feet from a lamp post at night. If her shadow from the light is 8 feet long, what is the height of the lamp post?

OpenStudy (perl):

|dw:1428730831541:dw|

OpenStudy (perl):

by similarity of triangles $$\Large{ \frac{h}{24+8} = \frac{5}{8} }$$

OpenStudy (anonymous):

@perl I'm confused

OpenStudy (perl):

|dw:1428731329454:dw|

OpenStudy (perl):

they are similar because they share that corner angle, and both have right angles. AA similarity postulate

OpenStudy (perl):

that might be a theorem now that i think about it.

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