Calculation the coordinate of a point

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Maria
Maria 2014-3-28
评论： Pratik Pandya 2019-2-5
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 ? .

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Mischa Kim
Mischa Kim 2014-3-28
编辑：Mischa Kim 2014-3-28
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.

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Carlos
Carlos 2014-3-28
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
  1 个评论
Pratik Pandya
Pratik Pandya 2019-2-5
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.

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