document.write( "Question 535976: a ladder 9m long is placed against a wall 2m away from its base. what is the height reached by the ladder?\r
\n" ); document.write( "\n" ); document.write( "find the approximate distance that will be saved by walking diagonally across a field 450m by 250m instead of walking along the two adjacent sides.\r
\n" ); document.write( "\n" ); document.write( "A flagpole is to be made firm. how much wire will be needed if, from 3 pegs, each 120cm away from the foot of the people, wire will be tied to a point on the pole 2and1/2m from the ground?\r
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Algebra.Com's Answer #352061 by mananth(16946)\"\" \"About 
You can put this solution on YOUR website!
The ladder,the floor & the wall form a right triangle.
\n" ); document.write( "The base is one leg The height is the other leg
\n" ); document.write( "The ladder acts as the hypotenuse
\n" ); document.write( "Pythagoras theorem
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\n" ); document.write( "(Hyp)^2= (leg1)^2+ Leg2^2
\n" ); document.write( "Hypotenuse = 9 ft
\n" ); document.write( "leg1= 2 ft
\n" ); document.write( "Leg2= ?
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\n" ); document.write( "leg2^2=hyp^2-leg1^2
\n" ); document.write( "Leg2^2= 9^2-2^2
\n" ); document.write( "Leg2^2= 81-4
\n" ); document.write( "Leg2^2=77
\n" ); document.write( "Leg2= \"sqrt%28175%29\"
\n" ); document.write( "Leg2= 8.77 ft --- The height it reaches\r
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\n" ); document.write( "\n" ); document.write( "------------\r
\n" ); document.write( "\n" ); document.write( "The sides and the diagonal form a right triangle
\n" ); document.write( "The length is one leg & the width is the other leg
\n" ); document.write( "One leg 450 m
\n" ); document.write( "Second leg 250 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=%09450%09%5E2%09%2B%09250%09%5E2\"
\n" ); document.write( "x ^2 = 202500 + 62500
\n" ); document.write( "x ^2 = 265000
\n" ); document.write( "\"+sqrt%28x%5E2%29=%09%09sqrt%28%09265000%09%29\"
\n" ); document.write( "x= 514.78 m
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\n" ); document.write( "The sum of the sides = 700 m
\n" ); document.write( "The diagonal = 514.78 m
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\n" ); document.write( "The difference= 185.22 m
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\n" ); document.write( "185.22 m will be saved \r
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\n" ); document.write( "\n" ); document.write( "The rope forms the hypotenuse of the right triangle
\n" ); document.write( "One leg 250 cm
\n" ); document.write( "Second leg 120 cm
\n" ); document.write( "Hypotenuse x cm
\n" ); document.write( "By Pythagoras theorem
\n" ); document.write( "Hypotenuse^2 = Leg1^2+leg2^2
\n" ); document.write( "\"+%09x+%09%5E2%09=%09250%09%5E2%09%2B%09120%09%5E2\"
\n" ); document.write( "x ^2 = 62500 + 14400
\n" ); document.write( "x ^2 = 76900
\n" ); document.write( "\"+sqrt%28x%5E2%29=%09%09sqrt%28%0976900%09%29\"
\n" ); document.write( "x= 277.31 cm the length of the rope.\r
\n" ); document.write( "\n" ); document.write( "There are 3 ropes . multiply by 3 to get the total length required \r
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\n" ); document.write( "m.ananth@hotmail.ca
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