document.write( "Question 1137072: When a drawbridge is open, the bridge forms a right angle with the doorway it leads to. A straight chain connects the far end of the bridge to the top of the doorway. If the doorway is 2 meters high and the chain is 2.5 meters long, find the length of the bridge, rounded to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #755029 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! When a drawbridge is open, the bridge forms a right angle with the doorway it leads to. \n" ); document.write( " A straight chain connects the far end of the bridge to the top of the doorway. \n" ); document.write( " If the doorway is 2 meters high and the chain is 2.5 meters long, find the length of the bridge, rounded to the nearest tenth. \n" ); document.write( ": \n" ); document.write( "use the Pythagorean Theorem a^2 + b^2 = c^2, where \n" ); document.write( "a = 2m the height of the door \n" ); document.write( "b = the length of the bridge \n" ); document.write( "c = 2.5m the length of the chain (hypotenuse) \n" ); document.write( ": \n" ); document.write( "2^2 + b^2 = 2.5^2 \n" ); document.write( "4 + b^2 = 6.25 \n" ); document.write( "b^2 = 6.25 - 4 \n" ); document.write( "b^2 = 2.25 \n" ); document.write( "b = \n" ); document.write( "b = 1.5 meters is the length of the bridge \n" ); document.write( " |