SOLUTION: Romeo and Juilet decides to elope. Romeo measures the height of juliet's window, and realizes it is 1 foot shorter than his ladder. He places his ladder 7 feet from the bottom of t

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Question 633010: Romeo and Juilet decides to elope. Romeo measures the height of juliet's window, and realizes it is 1 foot shorter than his ladder. He places his ladder 7 feet from the bottom of the wall. How high is juleit's window?
Answer by graphmatics(170) About Me  (Show Source):
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Let L be the height of the ladder, then the height of the window is L-1. After moving the ladder 7 feet from the wall the wall the ground and the ladder form a triangle with 90 degrees as the angle at the wall and the ground. Because it is a right triangle %28L-1%29%5E2%2B7%5E2=L%5E2. L%5E2-2L%2B1%2B49=L%5E2. 2L=50. L=25. The height of the window is 24 feet.