Consider the following scenario. A pilot is steering a plane in the direction N 4 5 \ deg W at an air - speed ( speed still in air ) of 1 5 0 mi / h . A wind is blowing in the direction S 3 0 \ deg E at a speed of 3 2 mi / h . Set up the coordinate axes so that north is the positive y - direction and west is the negative x - direction. With respect to the still air, write a vector that represents the velocity of the plane and a vector that represents the velocity of the wind. vplane = vwind = Give a velocity vector of the plane relative to ground. ( Round your values to three decimal places. ) v = vplane vwind = Find | v | . ( Round your answer to one decimal place. ) | v | = Find the true course and the ground speed ( in mi / h ) of the plane. ( Round your answers to one decimal place. ) true course N \ deg W ground speed mi / h