document.write( "Question 1173657: a bush walker estimates the angle of elevation to the top of the hill to be 22 degrees. after walking 700metres closer to the hill, the angle of elevation to the top of the hill becomes 38 degrees. Determine the height of the hill? \n" ); document.write( "
Algebra.Com's Answer #798927 by ewatrrr(24785)\"\" \"About 
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a bush walker estimates the angle of elevation to the top of the hill to be 22 degrees. after walking 700metres closer to the hill, the angle of elevation to the top of the hill becomes 38 degrees.
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document.write( "Hi,
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document.write( "Determine the height of the hill:
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document.write( "Letting x be the shorter distance to the Hill and h the height
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document.write( "Using opp/adj  tan(22)  &  tan(38) 
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document.write( "tan(22) = h/(x+700)             and  tan(38) = h/x  0r h =  tan(38)x
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document.write( "Substituting for h
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document.write( "tan(22) =  tan(38)x/(x+700)
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document.write( "tan(22)(x+700)=tan(38)x   
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document.write( "   \"+700tan%2822%29%2F%28tan%2838%29-tan%2822%29%29+=+x+\"
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document.write( "Using calculator
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document.write( " x = 749.5m   and h = 585.7m   \"h+=++tan%2838%29x\"
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document.write( "Wish You the Best in your Studies. \n" );
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