SOLUTION: Romeo and Juliet decide to elope. Romeo measures the height of Juliets window, and realizes it is 1 foot shorter than his ladder. He places his ladder 7 feet from the wall. How hig

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Question 710517: Romeo and Juliet decide to elope. Romeo measures the height of Juliets window, and realizes it is 1 foot shorter than his ladder. He places his ladder 7 feet from the wall. How high is Juliet's window?
Found 2 solutions by KMST, DrBeeee:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
h = height of Juliet's window (in feet)
h%2B1 = length of ladder (in feet)
%28h%2B1%29%5E2=h%5E2%2B7%5E2 --> h%5E2%2B2h%2B1=h%5E2%2B49 --> 2h%2B1=49 --> 2h=48 --> highlight%28h=24%29

Answer by DrBeeee(684) About Me  (Show Source):
You can put this solution on YOUR website!
Place the ladder of lenght L up against the wall. Then the window will be (L-1) feet high. Now place the ladder 7 feet from the base of the wall, and you get a right triangle with hypotenuse of L and two legs of 7 and (L - 1). Use the Pythagorean theorem to get
(1) L^2 = 7^2 + (L-1)^2 or
(2) L^2 = 49 + L^2 -2*L + 1 or
(3) 2*L = 50 or
(4) L = 25
Answer: The length of the ladder is 25 feet. and the window is 24 feet high.