document.write( "Question 814923: A tree was broken by the wind such that what remains standing is 4m. The top strikes the ground 5m. from its foot. How high was the tree before it was broken.? \n" ); document.write( "

Algebra.Com's Answer #490595 by mananth(16946) $\"\"$ $\"About$

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What remained was 4
\n" ); document.write( "distance from ground = 5
\n" ); document.write( "they form a right triangle\r
\n" ); document.write( "\n" ); document.write( "Apply Pythagoras theorem\r
\n" ); document.write( "\n" ); document.write( "One leg 4 m
\n" ); document.write( "Second leg 5 m
\n" ); document.write( "Hypotenuse x m
\n" ); document.write( "By Pythagoras theorem
\n" ); document.write( "Hypotenuse^2 = Leg1^2+leg2^2
\n" ); document.write( " $\"%09x+%09%5E2%09=%094%5E2%2B5%5E2\"$
\n" ); document.write( "x ^2 = 16 + 25
\n" ); document.write( "x ^2 = 41
\n" ); document.write( " $\"+sqrt%28x%5E2%29=%09%09sqrt%28%0941%09%29\"$
\n" ); document.write( "x= 6.4 m \r
\n" ); document.write( "\n" ); document.write( "Height of tree = 6.4 +4 =10.4m
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