An automobile traveling at 90 km/hr rounds a long sweeping curve of radius 250m. The air conditioner is on and the windows are rolled up so that the air within the car moves essentially as a rigid body. A child in the back seat is holding onto the string of a helium-filled balloon. On a straight road the string is vertical, but in the curve its not. Determine the magnitude and direction of the string angle as measured from the vertical.