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)\"\" \"About 
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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.
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\n" ); document.write( "X = 90-2 = 88 degrees
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\n" ); document.write( "Y
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\n" ); document.write( "12
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\n" ); document.write( "X---10---\A
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\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 = \"sqrt%28235.624%29\"
\n" ); document.write( "x = 15.35 meters
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\n" ); document.write( "Find angle A using the law of sines
\n" ); document.write( "\"15.35%2Fsin%2888%29\" = \"12%2Fsin%28A%29\"
\n" ); document.write( "cross multiply
\n" ); document.write( "sin(A)*15.35 = 12*sin(88)
\n" ); document.write( "sin(A) = \"11.9927%2F15.35\"
\n" ); document.write( "A = 51.38 ~ 51 degrees\r
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