document.write( "Question 1169133: At a point A on level ground, the angle of elevation to the top of a shed is 20 degrees. If a person walked 30.0 m away from point Am from the shed, to point B, the angle of elevation decreases by 12 degrees. Find the height of the shed. \n" ); document.write( "

Algebra.Com's Answer #793793 by josgarithmetic(39618) $\"\"$ $\"About$

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Try to draw and label the description. If y is how tall the shed, x is how far from ground level of shed to point A, and finding that angle of elevation from point B is 8 degrees, then:\r
\n" ); document.write( "\n" ); document.write( " $\"system%28tan%2820%29=y%2Fx%2Ctan%288%29=y%2F%28x%2B30%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "Substitute for x and solve for y.\r
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\n" ); document.write( "\n" ); document.write( ".\r
\n" ); document.write( "\n" ); document.write( " $\"y=%283%2Atan%288%29tan%2820%29%29%2F%28tan%2820%29-tan%288%29%29\"$ \n" ); document.write( "

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