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?

Verified Answer :

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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