document.write( "Question 974973: A radio tower casts a shadow 155 feet long. The angle of elevation of the sun is 52 degrees. How high is the tower? Round to hundredths. \n" ); document.write( "
Algebra.Com's Answer #596798 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! Sun angle is from the ground through the top of the tower. \n" ); document.write( "The shadow is on the ground or adjacent. The tower is opposite. \n" ); document.write( "The tangent is opposite/adjacent\r \n" ); document.write( "\n" ); document.write( "opposite/155= tan 52=1.28 \n" ); document.write( "155*1.28=198.39 feet. It must be less than the tower, for angles greater than 45 degrees have shadows that are less than the height. \n" ); document.write( " |