Calculation the coordinate of a point

If the distance and angle between two points is known and the coordinate one of two points is also known , how could I calculate the coordinate of second point ? .

Answer 1

[Mischa Kim]

Mick,

 x2 = x1 + d*cos(al);
 y2 = y1 + d*sin(al);

where d is the distance and al is the angle in rad measured between the x-axis and the line defined by the two points.

[Maria]

Thanks Mischa .

Answer 2

[Carlos]

I will give you some clues

You have points (x1,y1)(known) and point (x2,y2) (unknown),so you have two unknown variables, so you need two equations.

First equation

You know the distance d, and you know the points x1,y1

d=sqrt((x1-x2)^2+(y1-y2)^2)

Second equation

You know the angle, so you can ifnd out the slope m=tan(alpha) (alpha is the angle) and

m=(y2-y1)/(x2-x1)

Now just solve your system of two equations with two unknowns

[Pratik Pandya]

hEY CARLOS,

I was just wondering that what would happen if we shift the scenario to three dimensions.I have (x1,y1,z1) and (x2,y2,z2) both known to me with distance (and seperately dx,dy,dz) and angular displacement (thx,thy,thz).

I want to generate one coordinate set( say on (x1,y1,z1) side) based on which i will generate the another on the (x2,y2,z2)side.