document.write( "Question 1083795: theo looking up at a building in the distance. the angle of elevation to the top of the building is 20. he walks 200 feet closer and re-measures the angle to be 24. how tall is the building? answer \n" ); document.write( "
Algebra.Com's Answer #697843 by ikleyn(52915)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "
\r\n" );
document.write( "1.  Make a sketch.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "2.  Recall what the tangent is (I mean the Trigonometry function tan).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "3.  Let H be the height of the building.\r\n" );
document.write( "\r\n" );
document.write( "    Then the longest distance from Theo to the building was \"H%2Ftan%2820%29\".\r\n" );
document.write( "\r\n" );
document.write( "    Next, the closest distance from Theo to the building was \"H%2Ftan%2824%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Your equation is \"H%2Ftan%2820%29+-+H%2Ftan%2824%29\" = 200,   or\r\n" );
document.write( "\r\n" );
document.write( "    \"H%2A%281%2Ftan%2820%29+-+1%2Ftan%2824%29%29\" = 200.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Solve it for H:\r\n" );
document.write( "\r\n" );
document.write( "    H = \"200%2A%281%2Ftan%2820%29+-+1%2Ftan%2824%29%29\".\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "4.  You do the calculations.\r\n" );
document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );