document.write( "Question 1135196: A flag pole XY of length 12m tilts towards an observation point A at an angle of 2° to the vertical. If A is on the same level as the foot, X, of the flagpole and /AX/=10m,find the angle of elevation of the top of the flag pole from A, to the nearest degree. \n" ); document.write( "
Algebra.Com's Answer #752856 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! A flag pole XY of length 12m tilts towards an observation point A at an angle of 2° to the vertical. \n" ); document.write( " If A is on the same level as the foot, X, of the flagpole and AX = 10m, \n" ); document.write( " find the angle of elevation of the top of the flag pole from A, to the nearest degree. \n" ); document.write( ": \n" ); document.write( "X = 90-2 = 88 degrees \n" ); document.write( ": \n" ); document.write( "Y \n" ); document.write( "|\ \n" ); document.write( "| \n" ); document.write( "| \n" ); document.write( "12 \n" ); document.write( "| \n" ); document.write( "| \n" ); document.write( "| \n" ); document.write( "X---10---\A \n" ); document.write( ": \n" ); document.write( "find the side opposite X, call it x, using the law of cosines \n" ); document.write( "x^2 = 12^2 + 10^2 - 2(12*10)*cos(88) \n" ); document.write( "x^2 = 244 - 2(120)*.0349 \n" ); document.write( "x^2 = 235.624 \n" ); document.write( "x = \n" ); document.write( "x = 15.35 meters \n" ); document.write( ": \n" ); document.write( "Find angle A using the law of sines \n" ); document.write( " \n" ); document.write( "cross multiply \n" ); document.write( "sin(A)*15.35 = 12*sin(88) \n" ); document.write( "sin(A) = \n" ); document.write( "A = 51.38 ~ 51 degrees\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |