document.write( "Question 1120549: A park has a water channel with a semicircular cross section that has a diameter of 13ft. The boats that are going to be used in this water sytem have a rectangular cross sections and are known to submerge 3ft into the water. If the water channel is to be filled with water 6.5ft deep, what is the possible maximum width of the boats? \n" ); document.write( "
Algebra.Com's Answer #736231 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "The GIVEN part is THIS :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "1) The channel is a semicircle in the cross section with the diameter of 13 m and the radius of 6.5 m. It is filled up to the upper level.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "2) The boats are submerged 3 ft into the water.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "3) The boat has / (the boats have) the width 2x.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "The question is :\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " Find the maximum possible x and then 2x (assuming that the boat is centered along the channel axis).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solution\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " x =\r \n" ); document.write( "\n" ); document.write( "Answer. The maximal width of the boat is 11.53 ft.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |