Add vectors: magnitude & direction to component

Add two vectors in magnitude and direction form to get a new vector in component form.
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Problem

The magnitude of v, with, vector, on top is 6, and its direction angle is 160, degree.
The magnitude of w, with, vector, on top is 4, and its direction angle is 290, degree.
Find the component form of v, with, vector, on top, plus, w, with, vector, on top.
It's okay to round your intermediate calculations and final answer to the nearest hundredth.
v, with, vector, on top, plus, w, with, vector, on top, approximately equals, left parenthesis, space
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
space, comma
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i
right parenthesis, space