A plane is flying within sight of the Gateway Arch in St. Louis, Missouri, at an elevation of40,000ft. The pilot would like to estimate her distance from the Gateway Arch. She finds that the angle of depression to a point on the ground below the arch is19. (Round your answers to the nearest foot.)

(a) What is the distance between the plane and the base of the arch? ft (b) What is the distance between a point on the ground directly below the plane and the base of the arch? ft