document.write( "Question 1112226: a lumberjack standing at 50 ft from a tree measures a 3 degree angle of depression to the base of the tree and a 23 degree angle of elevation to the top of the tree. determine the height of the tree (to the nearest tenth of a foot). \n" ); document.write( "
Algebra.Com's Answer #727242 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! x + y = height of tree \n" ); document.write( ": \n" ); document.write( "tan(23) = x/50 \n" ); document.write( ": \n" ); document.write( "x = tan(23) * 50 = 21.2237 \n" ); document.write( ": \n" ); document.write( "tan(3) = y/50 \n" ); document.write( ": \n" ); document.write( "y = tan(3) * 50 = 2.6204 \n" ); document.write( ": \n" ); document.write( "x + y = 2.6204 +21.2237 = 23.8441 approximately 23.8 feet \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |