document.write( "Question 1092255: You measure the shadow cast by a certain tall building and find that it is 90 feet long. Then you measure the shadow cast by a three-foot post and find it to be 4 inches long. Determine the building's height. \r
\n" ); document.write( "\n" ); document.write( "I wrote it as x/90= 3/4 so 4x=90(3) but my answer was wrong. X= 67.5 (or 68)
\n" ); document.write( "

Algebra.Com's Answer #706866 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
You measure the shadow cast by a certain tall building and find that it is 90 feet long. Then you measure the shadow cast by a three-foot post and find it to be 4 inches long. Determine the building's height. \r
\n" ); document.write( "\n" ); document.write( "I wrote it as x/90= 3/4 so 4x=90(3) but my answer was wrong. X= 67.5 (or 68)
\n" ); document.write( "
The height of the building, and its shadow are proportionate to the height of the post and its shadow. 
\n" ); document.write( "This results in:
\n" ); document.write( "
\n" ); document.write( "Let the building's height be H
\n" ); document.write( "We don't have to change the units, so we keep them in FEET
\n" ); document.write( "The above becomes: \"matrix%281%2C3%2C+H%2F90%2C+%22=%22%2C+3%2F%284%2F12%29%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+H+%2A+%284%2F12%29%2C+%22=%22%2C+3%2890%29%29\" ------Cross-multiplying
\n" ); document.write( "Height of building, or
\n" ); document.write( "Good try!! Everything you did was correct, with the exception that you made an error when you used 4 FEET for the shadow of the post,
\n" ); document.write( "as opposed to \"matrix%281%2C4%2C+%284%2F12%29%2C+of%2C+a%2C+foot%29\".
\n" ); document.write( "FYI: You most certainly DO NOT NEED TO USE TRIG ratios to get the height. You already know that anyway.
\n" ); document.write( "It's just that your setup had 4 feet instead of 4 inches.
\n" ); document.write( "IGNORE all that COMPLEX solution as it's TOTALLY, TOTALLY UNNECESSARY. \n" ); document.write( "
\n" );