Consider a projectile launched at a height of h feet above the ground at an angle of with the horizontal. The initial velocity is v0 feet per second, and the path of the projectile is modeled by the parametric equations x = (v0 cos())t and y = h + (v0 sin())t 16t2. An archer releases an arrow from a bow at a point 4 feet above the ground. The arrow leaves the bow at an angle of 20 with the horizontal and at an initial speed of 200 feet per second.

(a) Write a set of parametric equations that model the path of the arrow. (Enter your answers as a comma-separated list of equations.)

b)Assuming the ground is level, find the distance (in feet) the arrow travels before it hits the ground. (Ignore air resistance. Round your answer to one decimal place.)

c)Use a graphing utility to graph the path of the arrow. Approximate its maximum height in feet. (Round your answer to two decimal places.)