Allie is playing basketball. She takes a shot 18 ft away from the basket. When the ball is 2 ft away from​ her, it is at a height of​ 10 ft above the floor. The ball reaches its highest height of 16 ft above the floor when it is 8 feet away from her. a. Find the value of a.
b. If the hoop is 10 ft​ high, how close would Allie have to be in order to make the​ basket?