document.write( "Question 321286: I have a tanker that is sitting 450 ft from shore, is leaking oil that is advancing in a circle at 2.2 ft per hour. If it takes 204.55 hrs for the oil to reach the shoreline, how long will it take to contaminate 6 miles of shoreline? I don't know if I start with the calculating the circumfrence or what? \n" ); document.write( "
Algebra.Com's Answer #230118 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! I have a tanker that is sitting 450 ft from shore, is leaking oil that is \n" ); document.write( " advancing in a circle at 2.2 ft per hour. \n" ); document.write( "If it takes 204.55 hrs for the oil to reach the shoreline, how long will it take to contaminate 6 miles of shoreline? \n" ); document.write( ": \n" ); document.write( "As you probably noticed, 204.55 * 2.2 = 450 ft, which would be the radius of \n" ); document.write( " spill when it just touched the shoreline after 204.55 hrs. \n" ); document.write( ": \n" ); document.write( "Visualize a larger circle that has a 6 mi chord which is 450 ft from the center. \n" ); document.write( "(The source of the spill) \n" ); document.write( "The center 450' distance to the 6 mi chord bisects the chord, so we can find the radius by solving a right triangle, with 1 leg 450' and the other leg 3 mi \n" ); document.write( ": \n" ); document.write( "Convert 3 mi to ft: 3*5280 = 15,840 ft \n" ); document.write( ": \n" ); document.write( "radius would be the hypotenuse, so we have \n" ); document.write( "r = \n" ); document.write( "r = 15846.4 ft \n" ); document.write( ": \n" ); document.write( "How long would it take the oil to travel 15,846.4 ft at 2.2 ft/hr? \n" ); document.write( " \n" ); document.write( ": \n" ); document.write( "Did this make sense to you? Let me know please (in the comment section). \n" ); document.write( " \n" ); document.write( " |