Sam and William would like to fly a model airplane that they build together. At full throttle, the airplane has the ability to fly 170 kilometers per hour in calm air. Their goal is to fly the plane at 35 degree North of East at a speed of 150 kilometer per hour. However, there is a steady window blowing from North at a speed of 27 kilometers per hour. At what speed and angle should they fly the plane to achieve their original goal?