document.write( "Question 257378: a 5 foot tall person lines up the top of a 35 feet tall flag pole with the top of a building. If he is 75 feet from the flag pole and the flagpole is 150 feet from the building, how tall is the building? \n" ); document.write( "

Algebra.Com's Answer #189302 by drk(1908) $\"\"$ $\"About$

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Draw a large triangle with 2 vertical lines inside the triangle.
\n" ); document.write( "Make one line 5 and the other 35.
\n" ); document.write( "Make the height of the triangle h.
\n" ); document.write( "Make the horizontal distance from 5 to vertex, x.
\n" ); document.write( "Make the distance from 5 ft to 35 ft. 75.
\n" ); document.write( "Make the distance from 75 ft. to H, 150 ft.
\n" ); document.write( "--
\n" ); document.write( "we need proportions to solve this:
\n" ); document.write( " $\"5%2Fx+=+35%2F%2875%2Bx%29\"$
\n" ); document.write( "cross multiply to get
\n" ); document.write( " $\"225+%2B+5x+=+35x\"$
\n" ); document.write( "solve for x as
\n" ); document.write( " $\"225+=+30x\"$
\n" ); document.write( " $\"x+=+7.5\"$
\n" ); document.write( "--
\n" ); document.write( "Now,
\n" ); document.write( " $\"5%2F7.5+=+H%2F%28225+%2B+7.5%29\"$
\n" ); document.write( " cross multiply to get
\n" ); document.write( " $\"1162.5+=+7.5H\"$
\n" ); document.write( "solving for H, we get
\n" ); document.write( " $\"H+=+155+ft\"$ \n" ); document.write( "

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