HUVdIILIIIg UII DIICK Because of a recent accident on an offshore rig, an oil slick is spreading across the surface of Isaac's Bay. The prevailing winds cause the slick to take on a wedge-like shape heading eastward, threatening the ecosystem of the Newton's Island Wildlife Refuge, 30 miles away. Satellite imaging has confirmed that the area of the wedge is growing at the steady rate of 50 square miles per day. It has been determined that the size ofthe vertex angle of the wedge is dependent upon the speed ofthe prevailing winds. Specifically, the vertex angle 00f the wedge is a function of w, the speed of the prevailing wind (in miles per hour) modeled by the formula 9(W) = wl'rm . Yourjob is to determine the rate at which the oil slick will be advancing and how long it will take before the oil slick makes landfall on the island. You have also been asked to estimate how many miles of absorbent boom will be needed to contain the slick as it advances, should the leak not be stopped, and how rapidly the perimeter of the slick will be growing. Isaac's Bay i:=::=:Ef~rIEE|V The Isaac's Bay Oil Slick Area and Estimated Arrival at Newton's Island Wind velocity Wedge angle q Area when r = 30 Days until impact 0 mph 180 1413.7 sq. miles 28.3 days 10 mph 20 mph 30mph 40 mph Space used (includes formatting): 1948 / 15000