find intersection of two lines with theta and rho in matlab

main.m
% Define the polar coordinates of the two lines:
theta1 = 45; % angle in degrees
rho1 = 5; % distance from the origin
theta2 = -30; % angle in degrees
rho2 = 3; % distance from the origin

% Convert polar coordinates to Cartesian coordinates:
x1 = cosd(theta1) * rho1;
y1 = sind(theta1) * rho1;
x2 = cosd(theta2) * rho2;
y2 = sind(theta2) * rho2;

% Find the intersection point in Cartesian coordinates:
A = [cosd(theta1) sind(theta1); cosd(theta2) sind(theta2)];
b = [rho1; rho2];
p = A\b;

% Convert intersection point back to polar coordinates:
rho = norm(p);
theta = atan2d(p(2), p(1));

% Display the results:
fprintf('Intersection at (%f, %f) in Cartesian.\n', p(1), p(2));
fprintf('Intersection at (%f, %f) in polar.\n', theta, rho);
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