document.write( "Question 158903: i need to find the height of an evergreen in the backyard i sketched the info
\n" ); document.write( "i placed a yardstick parallel to the tree and compared its shadow on the ground with the length of the shadow of the tree. how tall is the tree?\r
\n" ); document.write( "\n" ); document.write( "the shadow of the tree is 22ft long
\n" ); document.write( "the height of the yardstick is 3 feet and the shadow is 4 feet long \n" ); document.write( "

Algebra.Com's Answer #117158 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can also solve by TRIGO FUNCTIONS:
\n" ); document.write( "Remember: $\"H%5BT%5D=x\"$ unknown; $\"S%5BT%5D=22ft\"$
\n" ); document.write( " $\"h%5Bys%5D=3ft\"$ ; $\"s%5Bys%5D=4ft\"$
\n" ); document.write( "Since both forms a right triangle, we can use trigo function $\"SINE\"$ = $\"opp%2Fhyp\"$ :
\n" ); document.write( " $\"sin%28alpha%29+=opp%2Fhyp=h%5Bys%5D%2Fs%5Bys%5D\"$
\n" ); document.write( " $\"sin%28alpha%29=3%2F4\"$
\n" ); document.write( " $\"alpha=sin%5E-1%280.75%29\"$
\n" ); document.write( " $\"alpha=48.59deg\"$ -----> the same angle the TREE forms
\n" ); document.write( "Therefore,
\n" ); document.write( " $\"sin%28alpha%29=H%5BT%5D%2FS%5BT%5D\"$
\n" ); document.write( " $\"sin%2848.59%29=H%5BT%5D%2F22\"$
\n" ); document.write( " $\"H%5BT%5D=sin%2848.59%29%2822ft%29\"$
\n" ); document.write( " $\"H%5BT%5D=16.5ft\"$ --------------------------> Height of the Tree
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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