Suppose an airplane is flying 180 mph with a heading 25° east of south (295° measured counterclockwise from due east) when it encounters a 35 mph wind blowing steadily in a direction 15° north of east (15° measured counterclockwise from due east). Use →v to represent the speed vector of the airplane and →w to represent the speed vector of the wind. Start by drawing a head-to-tail configuration for →v and →w and the resultant vector →v+→w.

Write both →v and →w in component form. (Your answers should be in the form "< #, # >".)

→v=

→w=

Write the resultant vector →v+→w in component form.
→v+→w=

Now, write the resultant vector →v+→w in polar form. (You do not need to enter a degree symbol in your answer.)
→v+→w=

Your answer to part (c) tells us that the plane is actually moving at _ mph in the direction_  ° counterclockwise of due east.

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