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Problem of the Week, February 1418
Posted:
Feb 14, 1994 3:55 PM


The problem of the week is a regular feature here at the geometry forum. Each weekend a high school level geometry problem will be posted, and the following weekend a summary of solutions and their authors will be posted.
Please do not post solutions to the problem of the week; instead mail your answer along with as detailed a description of your method as necessary/possible to pow@forum.swarthmore.edu (replying to this message will also work). Solutions should be received by midnight Friday so they can be combined and posted over the weekend.
Please include your name, grade, and school along with your answer.
***************************************** Problem of the Week, February 1418
When last we left our heroes, Jill and Jimmy, they had figured out that the bridge over the river would need to be 65 meters long. Here's a picture (without the bridge, courtesy of Gino Perrotte):    16m  __________ _______ 10m ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ 7m 46m
Now, people who use the river are starting to ask questions. In particular, there is a company who floats barges up and down the river. Their biggest barges are 30 meters in width. How high above the water could the top of one of their barges be and still fit under the bridge?
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