1. A crawling tractor sprinkler is located as pictured here, 100 feet south of a sidewalk. Once the water is turned on, the sprinkler waters a circular disc of radius 20 feet and moves north along the hose at the rate of " inch/second. The hose is perpendicular to the 10 ft. wide sidewalk. Assume there is grass on both sides of the sidewalk. [UW] a) Impose a coordinate system. Describe the initial coordinates of the sprinkler and find equations of the lines forming and find equations of the lines forming the north and south boundaries of the sidewalk. b) When will the water first strike the sidewalk? c) When will the water from the sprinkler fall completely north of the sidewalk? d) Find the total amount of time water from the sprinkler falls on the sidewalk. e) Sketch a picture of the situation after 33 minutes. Draw an accurate picture of the watered portion of the sidewalk. f) Find the area of grass watered after one hour. N hose W E sidewalk tractor sprinkler