document.write( "Question 1183402: A student stands 29 m away from the foot of a tree and observes that the angle of elevation of the top of the tree, measured from a table 1.5m above the ground, is 38°28'. Calculate the height of the tree to the nearest meter \n" ); document.write( "

Algebra.Com's Answer #813714 by ikleyn(52817) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "A student stands 29 m away from the foot of a tree and observes that the angle of elevation of the top of the tree,
\n" ); document.write( "measured from a $\"highlight%28cross%28table%29%29\"$ LEVEL 1.5m above the ground, is 38°28'. Calculate the height of the tree to the nearest meter
\n" ); document.write( "~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            First, I edited the text to make it harmonious.\r
\n" ); document.write( "\n" ); document.write( "            Overwise, an unnecessary questions may arise about the table . . . (which is, actually, irrelevant to the problem).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            Second, I re-calculated everything and found out that the answer by @mananth is INCORRECT due to incorrect rounding.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "            I present the corrected calculations below.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "tan 38 deg 28' = x/29\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x = tan 38deg 28' * 29 = \r\n" );
document.write( "\r\n" );
document.write( "  = 0.794485554 * 29 = \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "x= 23.04008 m\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "height of the tree = 23.04008 + 1.5 = 24.504008 m = 25 m  (rounded as requested).        ANSWER\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved (correctly).\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );