ALGEBRA QUESTION!

Question

Change 25∠240° to rectangular coordinates.

(A) (48/5)

(B) (25/2)R - (25√3)/(2)U

(C) -12.5R - 21.65U

(D) (25, 240)

(E) None of the above

I got (C) -12.5R - 21.65U, is this correct?

Answer 1

Change 25∠240° to rectangular coordinates.

First, plot the vector on a graph. It starts at (0,0) and goes to the left and down---ie in the 3rd quadrant. The angle from the -y axis to the vector is 60 degrees.

The rectangular coordinates:

x = -25*cos(60)

y = -25*sin(60)