document.write( "Question 1146638: a tree standing vertically on the side of the hill makes an angle of 98 degrees with the side of the hill. At a point of 32 ft. down the slope, the trees subtends an angle of 35 degrees. find the height of the tree. \n" ); document.write( "

Algebra.Com's Answer #767932 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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a tree standing vertically on the side of the hill makes an angle of 98 degrees with the side of the hill.
\n" ); document.write( " At a point of 32 ft. down the slope, the trees subtends an angle of 35 degrees.
\n" ); document.write( " find the height of the tree.
\n" ); document.write( ":
\n" ); document.write( "Let h = height of the tree
\n" ); document.write( ":
\n" ); document.write( "We can find the 3rd angle which is opposite 32 ft: 180 - 98 - 35 = 47 degrees
\n" ); document.write( "Use the law of sines
\n" ); document.write( " $\"h%2Fsin%2835%29\"$ = $\"32%2Fsin%2847%29\"$
\n" ); document.write( "cross multiply
\n" ); document.write( "sin(47)*h = sin(35)*32
\n" ); document.write( "h = $\"18.3544%2Fsin%2847%29\"$
\n" ); document.write( "h = 25.1 ft is the height of the tree \n" ); document.write( "

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