How do I find the shortest distance from a line given in polar coordinates and a point given in Cartesian coordinates?
For example, say that the line is given by the polar coordinates rho = 2 and theta = 30 degrees, while the point is given by the Cartesian coordinates x = 7 and y = 7. How would I find the shortest distance from the point to the line? Thanks!
The line I described above is the line which passes though the polar point given by rho = 2 and theta = 30 degrees and is also perpendicular to the the line from the origin to this point. This is how I was defining this line using only rho and theta. Sorry for the confusion. With this added note, can anyone help? Thanks!