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 35 degrees, its height, f(x), in feet, can be modeled by f(x) = -0.01x^2+0.7x+5.1, where x is the shot's horizontal distance, in feet, from its point of release.

a. what is the maximum height of the shot and how far from its point of release does it occur?

b. what is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw?

c. from what height was the shot released?