# Grid coordinates from range and bearing

I have the following code which gives me range and heading when a user clicks on a grid.
Grid is 100x100 so the centre is 50,50

User clicks @ X,Y

range = System.Math.Sqrt(
System.Math.Pow(System.Math.Sqrt( System.Math.Pow((50-Y),2)),2)
+
System.Math.Pow(System.Math.Sqrt( System.Math.Pow((50-X),2)),2)
);

heading = System.Math.Atan2(50- X, 50 - Y) * 180 / System.Math.PI + 180;

This works OK but I want to reverse the process and get X and Y from range and heading?

Any ideas?

Thanks
###### Who is Participating?

Author Commented:
public int getX(double range, double bearing)
{
return (int)(range * System.Math.Sin(bearing * System.Math.PI / 180) + 50);
}

public int getY(double range, double bearing)
{
return 100-((int)(range * System.Math.Cos(bearing * System.Math.PI / 180) + 50));
}
0

Commented:
I will explain to you the process and you can do the steps.

As it stands you cannot reverse them, you have to do some groundwork first.

That is, given R, to find X you must first replace 'Y' with what it corresponds to for X

Simple example:

R = 2X + 3Y
=> Y = (R-2X) / 3

Hence:

R = 2X + (R-2X) / 3

Once you reach that state, since you know the value of R and you want to find X, you then go about making X the subject of the equation

Continuing from the example above:

R = 2X + (R-2X) / 3
=> 3R = 6X + (R-2X)
=> 2R = 4X
=> X = R / 2

You do the SAME process for Y.

Thus given 'R' (range) you can find X and Y

You repeat the same steps for H (heading).
0

Author Commented:
I kind of see what you are saying but my math is not good enough to do this :(
0

Author Commented:
Anyone :)
0

Commented:
Odds,

I have some good news and some bad news. Once I took a closer look into your equations I realised they were trigonometry.

The good news is, I have changed your equations for you.
The bad news is: you have to either know the ANGLE or at least X or Y.

What I mean is, if you know R, to find X, you must also know Y.
If you know R, to find Y, you must know the value of X.
If you know R and you don't know the value of either X or Y, then you need to know one of the two triangle angles. (but given your problem I assume you don't)
Same applies to the Heading equation.

R = Range
X, Y = Length of sides
A = angle

Given that you stated your math is not good, I don't expect you to fully understand what I am talking about.

Have a look at this:

http://www.clarku.edu/~djoyce/trig/right.html
http://zonalandeducation.com/mmts/trigonometryRealms/introduction/rightTriangle/trigRightTriangle.html

By the way, it will have to wait till tomorrow, because I wrote it down on paper and left it at home (and don't have the time right now to redo it)
0

Commented:
Lol, so I am curious, how did you end up to your two getX and getY methods?
0

Commented:
Let me rephrase it, you are aware that what i said above about the angle is what you are doing there right?
0

Author Commented:
I wanted X and Y from range so now i have functions to do that.

I am not a programmer and I couldn't understand your replies
0

Author Commented:
Fixed myself.
Thanks for all input though.
0
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