Rapunzel is located in the highest room f a tower, and Prince Charming has come to save her is 100 m away from the base of the tower. If the Prince estimates that he is looking at Rapunzel's room at an exact 45 degree angle of elevation. How long must Rapunzel's hair be so that the Prince can climb up it from the bottom of the tower ?

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Rapunzel is located in the highest room of a tower, and Prince Charming has come to save her is 100 m away from the base of the tower. If the Prince estimates that he is looking at Rapunzel's room at an exact 50 degree angle of elevation. How long must Rapunzel's hair be so that the Prince can climb up it from the bottom of the tower?
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