document.write( "Question 147778: 2. When the sun has risen 32 degrees above the horizon, Sandy casts a shadow that is 9 feet 2 inches long. How tall is SAndy, to the nearest inch? \n" ); document.write( "
Algebra.Com's Answer #108148 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
First, let's draw out the problem:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\n" ); document.write( "\"Photobucket


\n" ); document.write( "
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "From the drawing, we can see that the opposite side is \"x\" and the adjacent side is 110 (note: 9 feet 2 inches = 110 inches). So we must use the tangent function to find x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"tan%28angle%29=opposite%2Fadjacent\" Start with the tangent function.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"tan%2832%29=x%2F110\" Plug in the given angle and the two sides.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"110tan%2832%29=x\" Multiply both sides by 110.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=110tan%2832%29\" Rearrange the equation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=68.736\" Evaluate tan(32) to get 0.625\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"x=68.736\" Multiply\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So Sandy is 68.736 inches tall. Rounding this to the nearest inch gives us 69 inches which is 5 feet 9 inches.
\n" ); document.write( "
\n" );