math problem plz help

Question

1)              Suppose  is a 15-newton vector directed 35 degrees east of south and  is a 20-newton vector directed do degrees east of north. Find the magnitude and direction of the resultant vector R=F=G Round the answer to the nearest tenth.

Answer 1

Let A and B be the two vectors.

A is a 15-newton vector directed 35 degrees east of south, or 15Cosine(55)i - 15Sine(55) = 8.604i -12.287j

B is a 20-newton vector directed 2 degrees east of north or 20Cosine(88)i + 20Sine(2)j = 0.698i + 19.988j

Combine (i,j) terms to get the resultant vector.