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OpenStudy (nathanjhw):
A man 2 meters tall walks at the rate of 2 meters per second toward a streetlight that's 5 meters above the ground. At what rate is the tip of his shadow moving?
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OpenStudy (nathanjhw):
OpenStudy (perl):
the tip of his shadow is y
OpenStudy (perl):
we can make similar triangles
OpenStudy (perl):
5/ y = 2 / (y - x )
OpenStudy (perl):
do you agree so far?
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OpenStudy (nathanjhw):
yes
OpenStudy (perl):
|dw:1422319715145:dw|
OpenStudy (nathanjhw):
alright
OpenStudy (perl):
ok we can cross multiply 5(y-x) = y*2 5y -5x = 2y 3y = 5x y = 5/3 x
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