document.write( "Question 837076: When a mirror is placed on the ground so that the top of a building can bee seen by a person looking toward the building and into the mirror. A person 150 cm tall who is 6 m from the mirror observes the top of the tower when the mirror is 120 m from the tower set up a proportion and find the height of the building. \n" ); document.write( "
Algebra.Com's Answer #504472 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Let x = height of tower (in cm)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Drawing a picture will lead you to this proportion\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "150/6 = x/120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "150*120 = 6x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "18000 = 6x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x = 18000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 18000/6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the building is 3000 cm tall (or 3000/100 = 30 meters tall)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Note: 30 meters is roughly 98.4252 feet. So this is probably an 8 or 9 story building (each story is roughly 8-10 ft). \n" ); document.write( " |