document.write( "Question 1104702: The angle of elevation from a point on the ground to the top of a pyramid is 3434degrees°4040' The angle of elevation from a point 134134 feet farther back to the top of the pyramid is 2323degrees°4040'. Find the height of the pyramid. \n" ); document.write( "
Algebra.Com's Answer #719403 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! The tangent is the height/distance \n" ); document.write( "tan 34d40'=height/D \n" ); document.write( "height=D*0.6916 \n" ); document.write( "-------------------- \n" ); document.write( "tangent further back is height/(D+134) \n" ); document.write( "tangent 23d40'=height/D \n" ); document.write( "height= (D+134)*0.4383 \n" ); document.write( "------------------- \n" ); document.write( "Those two are equal \n" ); document.write( "0.6916D=0.4383D+58.73, the product of 134*0.4383 \n" ); document.write( "0.2533D=58.73 \n" ); document.write( "D=231.86 feet \n" ); document.write( "Now can get the height, which is D*0.6916 or 160.4 feet ANSWER \n" ); document.write( "Check with second tangent 23d40m=160.4/365.86=23.67d, checks. \n" ); document.write( " |