QOD #5

Aditi and Pia are after Boys Chorus councilors, particularly one's who might become fire-fighters. Unfortunately, the Boy's Chorus is getting on the bus, and so our two intrepid students are fast running out of opportunities to give out their phone numbers. Being scientists, though, they have devised a last-ditch plan. The Boys' bus is 50 feet long and 10 feet wide. It has two doors, one on the front side of the bus and the other on the back as an emergency exit. Pia is going to fling Aditi through the front door, having her richochet off of each side of the bus once before exiting out the emergency door, distributing copies of their phone numbers and résumés as she flies by. The middle of the front side door is 5 feet from the front of the bus, and the emergency door is centered in the back of the bus. What is the length of the shortest route Aditi can take, and what angle, with respect to the side of the bus, should Pia aim her?

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