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?

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.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

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
See more answers at brainly.com
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.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

|dw:1434097565386:dw|
Right, and I think we have to use similar triangles, correct?
Yes! lets start by labelling stuff

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

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

Not the answer you are looking for?

Search for more explanations.

Ask your own question