anonymous
  • anonymous
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?
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
ganeshie8
  • ganeshie8
|dw:1434097565386:dw|
anonymous
  • anonymous
Right, and I think we have to use similar triangles, correct?
ganeshie8
  • ganeshie8
Yes! lets start by labelling stuff

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

ganeshie8
  • ganeshie8
Say the lamppost is the origin, \(\large y\) represents the position of shadow, \(\large x\) represents the position of man |dw:1434098052886:dw|
ganeshie8
  • ganeshie8
we're given \( \dfrac{dx}{dt}=5 \) and asked to find \(\dfrac{dy}{dt}\)
anonymous
  • anonymous
Exactly! I got stuck right here, I don't know what to do from here on
ganeshie8
  • ganeshie8
do you see two similar triangles ?
anonymous
  • anonymous
Yeah, one with 15 and y, the other with 6 and y-x
ganeshie8
  • ganeshie8
|dw:1434098406881:dw|
ganeshie8
  • ganeshie8
set up a proportion: \[\large \dfrac{15}{y}~~=~~\dfrac{6}{y-x}\]
ganeshie8
  • ganeshie8
rearrange a bit and differentiate with respect to \(t\)
anonymous
  • anonymous
Ohhh okay! Im gonna do that and tell you what i get
anonymous
  • anonymous
So is dy/dt = (15(5))/9 ??
ganeshie8
  • ganeshie8
Yes, looks you can cancel 3 and simplify a bit more
anonymous
  • anonymous
Great!! Thanks so much!! You saved me! :D
ganeshie8
  • ganeshie8
np:)

Looking for something else?

Not the answer you are looking for? Search for more explanations.