Answer:
about 3.492
Step-by-step explanation:
The distance between points in polar coordinates can be found using the Law of Cosines. For vector magnitudes a and b, and angular difference C, the distance between them (c) can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
= 7^2 +5^2 -2(7)(5)cos((217/180π -(-23/36)π)
= 74 -70cos(332°) ≈ 12.1937
c = √12.1937 ≈ 3.492
The distance between the given points is about 3.492 units.
