Math help! Related rates?

Question

2. A Street light is 15 meters high. A man 1.687 meters tall walks away from the street light at a rate of 6 meters per minute.

a. At what rate is the tip of his shadow moving when he is 5 meters from the street light?
b. At what rate is the length of his shadow increasing?

Solution:
Please teach me how to do no. 2

Answer 1

Let x be the horizontal distance between the man and the lightpole, and y be the horizontal distance between the his shadow tip and the lightpole.
By the similarity of two triangles,
y/15 = (y-x)/1.687
Differentiate with respect to time t,
y'/15 = (y'-x')/1.687
a.
Plug in x' = 6 m/min and solve for y',
y' = 6.76 m/min

b.
y'-x' = 0.76 m/min

Answer 2

Sounds like kids in toilet training, but in order to do #2, you have to set up #1. So consider a figure with a street light on the left, a "stick"man some distance from it, and a ray from the light to the top of the man (of height 1.687m) which reaches the ground at the tip of the shadow. Let x be the horizontal distance from the lightpole base to the tip of the shadow and s the length of the shadow (on the ground between the man and the ray). At any time, x= 5*t+s.
Whatever x is, we know dx/dt=+6 m/min (a pretty slow-walking man, probably after a party).

Then, we can write dx/dt = 5+ds/dt. Then ds/dt=1 m/min

Answer 3

it might take 30 minutes to examine how the chessmen pass and the thank you to set-up the chessboard; it fairly isn't the comparable factor as understanding a thank you to play chess. How long it takes a participant to realize grasp-point expertise relies upon upon a individual's flair and relatively his willingness to learn difficult; there's no such set timeframe as "ten years to become a Chess grasp." some attain that time in a very couple of minutes, others do no longer come close after a existence time of play and learn. Chess (and computing device programming) relies upon heavily on logic, a branch of arithmetic. computing device programming itself does not require any arithmetic except a application is being written to artwork with/ remedy/ notice mathematical equations. policies (language syntax) and logic are each and every thing while it consists of writing powerful classes and correcting (debugging) application blunders. Chess demands the skill to word a sequence of policies to remedy an issue in a logical trend.

Answer 4

why dont you do your own homework instead of expecting us to do it for you