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 #706855 by MathLover1(20849)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Consider the post and its shadow as a right angled triangle.
\n" ); document.write( "The post is the opposite side, the shadow is the adjacent side.\r
\n" ); document.write( "\n" ); document.write( "Using trigonometric ratios:
\n" ); document.write( "\"tan%28x%29+=+opposite%2Fadjacent\"\r
\n" ); document.write( "\n" ); document.write( "Note \"3ft\" is \"36+in\"\r
\n" ); document.write( "\n" ); document.write( "\"tan%28x%29+=+36+inches%2F4+inches\"
\n" ); document.write( "\"tan%28x%29+=+9\"
\n" ); document.write( "\"x+=+83.66+\"degrees.\r
\n" ); document.write( "\n" ); document.write( "Now consider the building.\r
\n" ); document.write( "\n" ); document.write( "The building is the opposite side, and its shadow is the adjacent side.\r
\n" ); document.write( "\n" ); document.write( " since \"90+feet\" is \"1080in\", we have\r
\n" ); document.write( "\n" ); document.write( "\"tan%2883.66%29+=+opposite%2F1080+in\"
\n" ); document.write( "\"opposite+=+1080+in+%2A+tan%2883.66%29\"
\n" ); document.write( "\"opposite+=+1080in%2A9.00027\"
\n" ); document.write( "\"opposite=+9720.2916in\"
\n" ); document.write( "\"opposite=+810.0243ft\"->This is the height of the building.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );