In Exercise, an athlete whose event is the shot put releases the shot with the same initia...

In Exercise, an athlete whose event is the shot put releases the shot with the same initial velocity, but at different angles.

(Refer to the preceding information and the graphs shown in Exercise.) When the shot is released at an angle of 65°, its path can be modeled by the formula

in which x is the shot’s horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure in Exercise. Use the formula to determine the shot’s maximum distance. Use a calculator and round to the nearest tenth of a foot. Which graph, (a) or (b), shows the shot’s path?

Exercise

When the shot is released at an angle of 35°, its path can be modeled by the formula

in which x is the shot’s horizontal distance, in feet, and y is its height, in feet. This formula is shown by one of the graphs, (a) or (b), in the figure. Use the formula to determine the shot’s maximum distance. Use a calculator and round to the nearest tenth of a foot. Which graph, (a) or (b), shows the shot’s path?