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- Thread starter turdferguson
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Its a pretty interesting problem that you also have to use a bit of trig/geometry to solve.

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A rain gutter is to be constructed from sheet metal with width 30cm by bending up one-third of the sheet on each side through an angle theta. How should theta be chosen so that the rain gutter will carry the maximum amount of water (maximum cross-sectional area)?

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Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is attached to the top of each pole and it is also staked to the ground somewhere between the two poles. Where should the wire be staked so that the minimum amount of wire is used?

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