As Claudia walks away from a 264-cm lamppost, the tip of her shadow moves twice as fast as she does. What is Claudia’s height?
132-cm is her heigth. I figured this out by dividing 264 by 2 and I got 132-cm
We have that Claudia’s height is mathematically given as
H=176cm
From the question we are told
As Claudia walks away from a 264-cm lamppost, the tip of her shadow moves twice as fast as she does. What is Claudia’s height?
Generally the equation for the both Triangles is mathematically given as
\(\frac{264}{H}=\frac{x+y}{y}\)
Therefore
\(264y=H(x+y)\)
Hence
\(264*2\frac{dx}{dt}=H(\frac{dx}{dt}+2\frac{dx}{dt})\\\\H=176cm\)
Therefore
Claudia’s height is mathematically given as
H=176cm
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