document.write( "Question 1082131: A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees. If the pole has leaned 16 degrees from the vertical directly toward the sun, what is the length of the pole? \n" ); document.write( "

Algebra.Com's Answer #696274 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A pole casts a shadow of 15 m when the angle of elevation of the sun is 61 degrees.
\n" ); document.write( " If the pole has leaned 16 degrees from the vertical directly toward the sun, what is the length of the pole?
\n" ); document.write( ":
\n" ); document.write( "Draw this out, it is not a right triangle, we know angle A = 61, angle B: 16 + 90 = 106 degrees, angle C: 180 - 61 - 106 = 13 degrees
\n" ); document.write( "use the law of sines, a = the length of the pole opposite 61 degrees,
\n" ); document.write( " $\"a%2Fsin%2861%29\"$ = $\"15%2Fsin%2813%29\"$
\n" ); document.write( "Find the sines and cross multiply
\n" ); document.write( ".22495a = .8746 * 15
\n" ); document.write( "a = $\"13.1192%2F.22495\"$
\n" ); document.write( "a = 58.32 m \n" ); document.write( "

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