A little help with a math problem....
 

Hallo can any of you do some math...:-)

I have a problem I just can not solve,

1) I need to find a and b in the formula

2) find the direction and radius then Peter has "worked" 3 km arc line

Peter must treasure hunt in the woods and have been told that he can find the treasure to closely follow the path of a logarithmic Spira, at a given starting point. If he walk 3 km, on the arc line. He will find the treasure.

Peter knows a logarithmic spiral is as follows: http://img.geocaching.com/cache/fb69...d5b5f32eea.jpg
Startpunkt=STARTPOINT

He has also been told that when he has revolved around 180 degrees (marked with A in the figure), he is 86.23 meters from where he started, and after 360 degrees (marked with B in the figure), he is 75.41 meters where he started.

Fortunately, Peter also knows the formula for a logarithmic spiral: http://img.geocaching.com/cache/fb9f...36c3ed9be3.jpg, and he assumes that the starting point corresponds to Theta = zero.

With this knowledge puts Peter down first and count (long) on the figures. Then he prepared for the trip, and he does not actually become dizzy by.


Taygoo - Have tried to solve this in days now...:-)

Peter needs a new hobby.

yes he does...:-)

That... math... problem... confuses the h*** out of me.:o

you think he will be happy with 1+1=2. lol

I am way too drunk to start with math problems right now.

This isn't a math question! It's a conspiracy!

Why is Peter being forced to "treasure hunt"? Who is forcing him? Why does he believe that he will find treasure if he goes in such a way?

Peter is clearly being manipulated by a shadowy group with evil intentions, I say, and it's same group of shadow-dwellers that want us to focus our concentration on him rather than to see the truth!

Rise up! Rise up against the evil conspiracy!

I would go with this answer:yep:

Also, 1+1=3:o

Ack.
It's calculus...rectification/integration.
I'll give it a bash, but I am also new to think kind of thing. If I don't reply
soonish assume that it has induced brain paralysis in me...

No just a question I need to solve, so I can get the to real treasure :-)

Thx.. I have tried 5 hours to day.. my head is :damn:

Good luck Letum

Have you got the spiral's function yet?

umm maybe there was something lost in translation, I have a few troubles understanding which distance has to be 3 km? Is that walking 3km on the spiral, or 3km in straight line from the startpoint when he walks on the spiral?

Edit: the second option doesn't make much sense now does it? I mean apart from the first 180° there are surely always 2 points on the spiral that are in equidistance to the starting point.

It's the arc length from the startpoint.

That would mean 2 points to search or not? atleast when I look at that figure I'm inclined to think so.

VipertheSniper I did some edit in the main text.

If Peter work on the arc line, 3 km he will be there.

Just thinking out loud.....

When r=86.23

86.23=a*Exp^180b

When r=75.41

75.41=a*Exp^360b

Can they be worked out as simultaneous?

b must be less than 0.2 and more than 0.1