I need help with this problem!! It would be much appreciated!!
A street light is mounted at the top of a 15 foot-tall pole. A man 6ft tall walks away from the pole with the speed of 5ft/s along a straight path. How fast is the tip of his shadow moving away from the pole when he is 40ft from the pole?

Question

I need help with this problem!! It would be much appreciated!!
A street light is mounted at the top of a 15 foot-tall pole. A man 6ft tall walks away from the pole with the speed of 5ft/s along a straight path. How fast is the tip of his shadow moving away from the pole when he is 40ft from the pole?

ganeshie8 · Answer

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anonymous · Answer

Right, and I think we have to use similar triangles, correct?

ganeshie8 · Answer

Yes! lets start by labelling stuff

ganeshie8 · Answer

Say the lamppost is the origin,
$\large y$ represents the position of shadow,
$\large x$ represents the position of man

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