At 9am ship A is 50km east of the ship B. Ship A is sailing north a 40km/h and Ship B is sailing south at 30km/h. Howfast is the distance between them changing at noon?

Question

nincompoop · Answer

draw first

anonymous · Answer

I'm not sure how to draw it.  It looks weird

nincompoop · Answer

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nincompoop · Answer

set up your equations

nincompoop · Answer

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nincompoop · Answer

so this is quite similar with falling or sliding ladder problems

nincompoop · Answer

figure out the plan of attack then post here what you came up with

anonymous · Answer

I have no clue... Is there two right triangles in this?

nincompoop · Answer

there are two triangles, correct. that is if you want to see it that way

nincompoop · Answer

you are looking for the $\sf \large s$ between the two ships and the only way to really do that is to draw a straight line between them continuously from 9AM till 12PM

anonymous · Answer

Do we need to figure the distances of A and B?

nincompoop · Answer

that's what it is asking eventually, the distance between two ships - but at what rate they are going farther away from each other

anonymous · Answer

I'm not sure how to do this...

anonymous · Answer

We need to use this:
a^2+b^2=c^2 ??

nincompoop · Answer

ye

anonymous · Answer

Do we need to divide 50 by 2?

anonymous · Answer

@nincompoop

nincompoop · Answer

I really need for you to think this hard

anonymous · Answer

Can you give me another hint?

anonymous · Answer

I got these numbers
5sqrt601 and 5sqrt349

anonymous · Answer

Really don't get this, can you please explain it...

anonymous · Answer

What am I finding? Like I got sqrt (120^2+25^2) which is 5sqrt601

anonymous · Answer

:(

dan815 · Answer

-.-

dan815 · Answer

forget related rates right now

dan815 · Answer

first things first, can you draw the right picture

dan815 · Answer

and do you know the geometry of this problem

dan815 · Answer

the idea of related rates is very simple
if 
Dan moves 2 steps for every step NIN takes

and if nin is taking 10 steps a min

Then I must be taking 20 steps a min as iam taking 2 stesp for every step nin takes

dan815 · Answer

The same idea is applied here

dan815 · Answer

herse another way to see what is going on maybe it will help u visualize better

dan815 · Answer

the horizontal distance is the same all the time but the vertical distance is changing so

dan815 · Answer

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