BASKETBALL A basketball player throws the ball toward the basket. The path of the ball can be modeled by the
equation y = -0.046x² + x + 6, where y is the height of the ball above the court, and x is the horizontal
distance of the ball from the player to the basket. The line of sight a extends from the player's eyes to the top of th
basket. Assume the player's eyes are 6 feet above the ground, and the line of sight rises one foot for every 4 feet i
the horizontal direction.

a. How high is the top of the basket above the ground? Round your answer to the nearest tenth.
b. what is the horizontal distance between the basketball player and the basket?