document.write( "Question 1106765: You are standing 49 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121 meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #721742 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! You are standing 49 meters from the base of a building. You estimate that the angle of elevation to the top of the 86th floor (the observatory) is 82°. If the total height of the building is another 121 meters above the 86th floor, what is the approximate height of the building? (Round your answers to one decimal place.) \n" ); document.write( "--------------- \n" ); document.write( "Sketch the picture. \n" ); document.write( "You have a right triangle with base angle = 82 deg, base = 49 meters. \n" ); document.write( "Find the height:: \n" ); document.write( "height = base*tan(82) \n" ); document.write( "h = 49*7.115 = 348.65 meters (height to top of the 86th floor) \n" ); document.write( "----- \n" ); document.write( "Total height = 348.65 + 121 = 469.65 meters = 469.7 meters when rounded \n" ); document.write( "--------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------------- \n" ); document.write( " \n" ); document.write( " |