document.write( "Question 1181606: A vertical light pole on a hillside casts a shadow of 55 m long down the hill. If the angle of elevation of the sun is 48.3° and the angle of inclination of the hill is 21.4°. Find the height of the pole. \r
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Algebra.Com's Answer #811515 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "Label the points on the diagram as follows:
\n" ); document.write( "A = downhill end of shadow
\n" ); document.write( "B = uphill end of shadow
\n" ); document.write( "C = top of pole

\n" ); document.write( "We have enough information to find all three angles of triangle ABC; we know the length of c (side AB) and we want to find the length of a (side BC). That combination of information (all three angles and one side) tells us to use the law of sines.

\n" ); document.write( "\"a%2Fsin%28A%29=c%2Fsin%28C%29\"

\n" ); document.write( "\"a+=+%28c%28sin%28A%29%29%29%2Fsin%28C%29\"

\n" ); document.write( "\"a+=+%2855%2Asin%2848.3-21.4%29%29%2Fsin%2890-48.3%29\"

\n" ); document.write( "Use a calculator....

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