Part A:
The distance between two points can be calculated through the equation,
d = sqrt ((x₂ - x₁)² + (y₂ - y₁)²)
Each of the point may take the 1st or the 2nd coordinates. Substituting the known values,
d = sqrt ((23 - 2)² + (3 - 24)²)
d = 21√2
d = 29.7
Part B:
We get the angle between the lines generated from points and the origin.
Angle 1: θ = tan⁻(3/23) = 7.43°
Angle 2: θ = tan⁻(24/2) = 85.24°
Subtracting the values,
Angle = 77.8°
Thus, the polar coordinate is (29.7, 77.8°).
