ALGEBRA PROBLEM! PLEASE HELP ME!

Question

Add 17∠60º and 8∠220º

(A) 24.67∠53.63º

(B) 9.9∠76.10º

(C) 25∠280º

(D) 10∠13.90º

(E) None of these

Answer 1

My guess is that the expectation is for you to convert these polar coordinates into rectangular coordinates, add the corresponding x and y values and then reconvert to polar form.

The rectangular form for 17∠60º can be found as (17 cos 60º, 17 sin60º).

For 8∠220º, (8cos220º, 8sin220º).

After getting the decimal approximations for the above x and y coordinates and then adding you will get something like: (2.7316, 9.5801). Now how to convert those rectangular coordinates back to polar?

R = √(x₁² + y₁²)

And θ = tan^-1(y₁ / x₁)

B looks like the answer, but you should perform the above calculations to confirm.