An engineer designs a roller coaster so that a car travels horizontally for 172 ft, then climbs 117 ft at an angle of 34.0° above the horizontal. It then moves 117 ft at an angle of 46.0° below the horizontal. If we take the initial horizontal motion of the car to be along the +x-axis, what is the car's displacement? (Give the magnitude of your answer, in ft, to at least four significant figures and give the direction of your answer in degrees counterclockwise from the +x-a) Magnitude:

° counterclockwise from the +x-axis: