document.write( "Question 1183836: a flag pole is placed at the top of a tower. The angle of elevation of the bottom and top of flag pole from a point on the ground 10m away are 40 and 50 respectively. Find the length of the flag pole \n" ); document.write( "
Algebra.Com's Answer #814304 by Boreal(15235) You can put this solution on YOUR website! Draw this \n" ); document.write( "The tower + flagpole is the opposite to angles 40 and 50 \n" ); document.write( "The 10 m distance is adjacent. \n" ); document.write( "So tan 40=x/10, where x is the height of the tower. \n" ); document.write( "x=10 tan 40 or 8.39m \n" ); document.write( "to the height of the flagpole is y \n" ); document.write( "tan 50=y/10 \n" ); document.write( "y=10 tan 50 or 11.92 m \n" ); document.write( "The tower is common to both x and y \n" ); document.write( "So height of flag pole is 11.92 m-8.39 m=3.53 m \n" ); document.write( " |