The designers of a water park are creating a new slide and have sketched some preliminary drawings. The length of the ladder is 30 feet, and its angle of elevation is 60 degrees.
a). Find the height of the slide.
b). Find the angle of depression from the top of the slide to the end of the slide at the ground in terms of the horizontal distance the rider travels.
c).The angle of depression of the ride is bounded by safety restrictions to be no less than 25 degrees and not more than 30 degrees. Find an interval for how far the rider travels horizontally.