An athlete whose event is the shot put releases a shot. When the shot whose path...

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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30, its height, f(x), in feet, can be modeled by f(x) = -0.01x + 0.6x + 5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. Shot Put's Height 50- 40- 30- 20- 10 0+ 0 a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is 14.7, which occurs 30 feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) 20 40 60 80 100 Shot Put's Horizontal Distance An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 30, its height, f(x), in feet, can be modeled by f(x) = -0.01x + 0.6x + 5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph. Shot Put's Height 50- 40- 30- 20- 10 0+ 0 a. What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is 14.7, which occurs 30 feet from the point of release. (Type an integer or decimal rounded to four decimal places as needed.) b. What is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw? feet (Type an integer or decimal rounded to the nearest tenth as needed.) 20 40 60 80 100 Shot Put's Horizontal Distance