1. A small plane pilot is buffeted by shifting winds. She flies 26 km due northeast followed by 45 km due north. Then the winds blow the plane in an unknown direction for an unknown distance. After the wind dies down the pilot finds herself at a landing strip 70 km due north of her original location. Find the magnitude and direction of the third leg of the trip.
2. The Horseshoe Falls on the Canadian side of Niagara Falls have water that moves horizontally at 9.0 m/s which then falls 53 m vertically into the Niagara River below. Ignoring any air resistance, at what angle does the falling water enter the river below?