How do I find the distance between polar coordinates (3, 60^circ) and (5, 145^circ)?

1 Answer
Mar 3, 2018

Using the cosine rule, we get 5.602.

Explanation:

Angle between them is 85^o one of the length is 3, and other is 5.. Therefore by cosine rule
a^2+b^2-2abcostheta = c^2
=> 9^25-2*3*5*cos85 = c^2
=> 34 - 2.614 = 31.386 = c^2
=> c = sqrt(31.386) = 5.602