document.write( "Question 1109829: From a point on level ground, the angles of elevation of the top and the bottom of an antenna standing on top of a building are 32.5˚ and 26.3˚, respectively. If the building is 136 ft. high, how tall is the antenna? \n" ); document.write( "
Algebra.Com's Answer #724786 by josgarithmetic(39620)![]() ![]() ![]() You can put this solution on YOUR website! Observation ground point, bottom of antenna, top of antenna, form a triangle. \n" ); document.write( "6.2 degrees at observation point, 63.8 degree at top of antenna, 110 degree at bottom of antenna.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Two other, RIGHT triangles sharing distance from observation to bottom of the BUILDING. Let antenna length be h.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Smaller right triangle, let r be distance from observe point to bottom of antenna. \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let R be distance from observe to TOP of antenna. You would now know r. \n" ); document.write( "Law Of Sines again, using the non-right triangle, \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-\r \n" ); document.write( "\n" ); document.write( "You would then have computed r and R. \n" ); document.write( "The angle between them is or was found when analyzing the drawn diagram, 6.2 degrees. \n" ); document.write( "Use Law Of Cosines.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If y is how tall the antenna, \n" ); document.write( " |