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Add vectors: magnitude & direction to component

The magnitude and direction angle of v\vec v and w\vec w are given below in the form (r,θ)(r, \theta) where rr is the magnitude and θ\theta is the direction angle.
v=(7,160)\vec v = (7, 160^\circ)
w=(9,20)\vec w = (9, 20^\circ)
Find the component form of v+w\vec v + \vec w.
It's okay to round your intermediate calculations and final answer to the nearest hundredth.
v+w( \vec v + \vec w\approx (~
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
 ,~,
  • Your answer should be
  • an integer, like 66
  • a simplified proper fraction, like 3/53/5
  • a simplified improper fraction, like 7/47/4
  • a mixed number, like 1 3/41\ 3/4
  • an exact decimal, like 0.750.75
  • a multiple of pi, like 12 pi12\ \text{pi} or 2/3 pi2/3\ \text{pi}
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