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 A LADDER IS PLACED AGAINST THE SIDE OF A HOUSE. THE TOP OF THE LADDER IS 24 FEET ABOVE THE GROUND. THE BASE OF THE LADDER IS 7 FT AWAY FROM THE HOUSE. FIND THE LENGHT OF THE LADDER.

 May 22, 2014

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 #2
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The ladder positioned against the wall forms a right triangle. You are trying to find the length of the ladder, which is the hypontenuse of the triange. 24 ft is a leg length, as well as 7ft. Use the pythagorean theorem to solve this problem. A^2+b^2=C^2

24^2+7^2=C^2      Plug in the given values.

576+49=C^2          Square the pieces.

625=C^2               Combine the squared pieces.

25=C                    Take the square root of both sides.

The length of the ladder is 25 ft.

 May 22, 2014
 #1
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THe question is a^2+b^2=c^2 problem. Pythagorean theorem.

 a  and b are the sides that are touch the right angle and c is the side that doesn't

The house makes a right triangle 

http://www.google.com/url?sa=i&rct=j&q=&esrc=s&source=images&cd=&cad=rja&uact=8&docid=TUHaUXvq8YwcdM&tbnid=-v1uvTwmtTEcVM:&ved=0CAUQjRw&url=http%3A%2F%2Femweb.unl.edu%2FMath%2Fmathweb%2Ftrigonom%2FtrigsA97.html&ei=iWd9U7a6Fs-myAT2p4GQBw&bvm=bv.67229260,d.aWw&psig=AFQjCNGBZvk2OhX5o-6aCsdkLnqR0Ylsvg&ust=1400813826605766

The ground from where the latter touches to the grount until you reach the house and up until you reach the top of the ladder form a right angle and thus represent a and b. c is the length of the latter. just plug the numbers in the formula

 May 22, 2014
 #2
avatar
+5
Best Answer

The ladder positioned against the wall forms a right triangle. You are trying to find the length of the ladder, which is the hypontenuse of the triange. 24 ft is a leg length, as well as 7ft. Use the pythagorean theorem to solve this problem. A^2+b^2=C^2

24^2+7^2=C^2      Plug in the given values.

576+49=C^2          Square the pieces.

625=C^2               Combine the squared pieces.

25=C                    Take the square root of both sides.

The length of the ladder is 25 ft.

Guest May 22, 2014

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