An arrow is shot upward, with an initial velocity of meters per second, at an angle of with respect to the horizontal. The arrow is shot from a height of meters above the ground. The horizontal distance from the starting point and the height above the ground of the arrow seconds after it is shot are given by the parametric equations below. Here is the initial velocity, is the initial angle with respect to the horizontal, and is the initial height. Use the equations to answer the following questions. (a) How long is the arrow in the air before it first touches the ground? Do not round any intermediate computations. Round your answer to the nearest hundredth.
(b) What is the horizontal distance the arrow travels before it first touches the ground?