document.write( "Question 735545: Angles of Depression/Elevation: From the top of a tower 83 feet high, a man observes that the angle of elevation of the top of a certain tree is 13 degrees and the angle of depression of its base is 72 degrees. Find the height of the tree.''. \n" ); document.write( "

Algebra.Com's Answer #449463 by mananth(16946) $\"\"$ $\"About$

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tower = 83 ft\r
\n" ); document.write( "\n" ); document.write( "let the tree be x ft taller than the tower\r
\n" ); document.write( "\n" ); document.write( "Tree height = (83+x) ft\r
\n" ); document.write( "\n" ); document.write( "Let y be the distance between tree and tower\r
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\n" ); document.write( "\n" ); document.write( "Tan 13 = x/y\r
\n" ); document.write( "\n" ); document.write( "y=x/ Tan 13.........................(1)\r
\n" ); document.write( "\n" ); document.write( "Tan 72 = 83/y\r
\n" ); document.write( "\n" ); document.write( "y= 83/tan 72.........................(2)\r
\n" ); document.write( "\n" ); document.write( "x/ tan 13 = 83/ tan 72\r
\n" ); document.write( "\n" ); document.write( "x= 83 * tan 13 / tan 72\r
\n" ); document.write( "\n" ); document.write( "x= 6,23 ft\r
\n" ); document.write( "\n" ); document.write( "Height of tree = 83+6.23= 89.23 feet\r
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