document.write( "Question 787086: From the top of a building 50 ft high the angles of elevation and depression of the top and bottom of another building are 19 degrees 45 minutes and 26 degrees 15 minutes respectively. How high is the second building? What is the distance between the two buildings? \n" ); document.write( "
Algebra.Com's Answer #478209 by lwsshak3(11628) ![]() You can put this solution on YOUR website! From the top of a building 50 ft high the angles of elevation and depression of the top and bottom of another building are 19 degrees 45 minutes and 26 degrees 15 minutes respectively. How high is the second building? What is the distance between the two buildings? \n" ); document.write( "*** \n" ); document.write( "19 deg 45 min=19.75 deg \n" ); document.write( "26 deg 15 min=26.25 deg \n" ); document.write( ".. \n" ); document.write( "let x=distance between the two buildings \n" ); document.write( "let 50+y= height of second building \n" ); document.write( ".. \n" ); document.write( "50/x=tan 26.25 deg \n" ); document.write( "x=50/tan 26.25 deg \n" ); document.write( "x≈101.39 \n" ); document.write( ".. \n" ); document.write( "y/x=tan 19.75 deg \n" ); document.write( "y=x*tan 19.75 deg \n" ); document.write( "y≈36.40 \n" ); document.write( "50+y≈86.40 \n" ); document.write( "distance between the two buildings≈101.39 ft \n" ); document.write( "height of second building≈86.40 ft \n" ); document.write( " |