Find the distance between the points with polar coordinates (3, 120 degrees) and (0.5, 49 degrees) Solution The simplest way to solve this is to convert the polar coordinates into cartesian coordinates first, and then, use the Cartesian coordinate distance formula to find the distance between those 2. \\(Point 1 = P_1 = 3\\angle 120 \\implies (x,y) = (3 cos120^\\circ, 3sin120^\\circ) = (- \\frac{3}{2}, \\frac{3\\sqrt{3}}{2})\\) \\(Point 2 = P_2 = 0.5\\angle 49 \\implies (x,y) = (0.5 cos49^\\circ, 0.5sin49^\\circ) \\approx (0.33, 0.38)\\) Now we use the distance formula: \\(D = \\sqrt{(0.33-(-\\frac{3}{2}))^2 + (0.38-(\\frac{3\\sqrt{3}}{2})^2} \\approx 8.27\\) root = 2.88.