Question

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?

Answer 1

132-cm is her heigth. I figured this out by dividing 264 by 2 and I got 132-cm

Answer 2

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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