How Fast Is the Distance Changing Between Mr. John and the Zombie?

[wild]

Related Rate Question please help!

I am stuck on this question and need help asap pleasez.

Mr. John is climbing a tree at a rate of 2m/s. After 1 second of climbing Mr. John is noticed by a 2m tall zombie that is 30m away from the tree. The zombie walks towards Mr. John at a rate of 5m/s. What is the rate of change of the distance between Mr. John and the zombie when the angle of elevation from the zombie to Mr. John is Pi/4.


i kno that
Dy/Dt = 2m/s.
Dx/Dt is 5m/s.
theta is Pi/4.
i just can't find out how to do this pleasez help!

 

[hamsterman]

Write down functions j(t) and z(t), then find the derivative of \sqrt{j^2(t) + z^2(t)}. Note that j and z are lines in R^2 space. jx is always 0 and zy is probably 2.

 

[CallMeShady]

Could you please draw out the situation and then post it up? It would be of big assistance.

 

[Mark44]

I am stuck on this question and need help asap pleasez.

Mr. John is climbing a tree at a rate of 2m/s. After 1 second of climbing Mr. John is noticed by a 2m tall zombie that is 30m away from the tree. The zombie walks towards Mr. John at a rate of 5m/s. What is the rate of change of the distance between Mr. John and the zombie when the angle of elevation from the zombie to Mr. John is Pi/4.i kno that
Dy/Dt = 2m/s.
Dx/Dt is 5m/s.
theta is Pi/4.
i just can't find out how to do this pleasez help!

Some of what you know isn't true! The angle is a function of time, and is $\pi/4$ only at one particular time. Also, since the zombie (who writes these problems?) is approaching the tree, dx/dt = -5 m/s.