FOUNTAINS Architects who design fountains know that both the height and distance that a

Chapter 13, Problem 36

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FOUNTAINS Architects who design fountains know that both the height and distance that a water jet will project is dependent on the angle at which the water is aimed. For a given angle , the ratio of the maximum height H of the parabolic arc to the horizontal distance D it travels is given by _ H D = _1 4 tan . Find the value of , to the nearest degree, that will cause the arc to go twice as high as it travels horizontally. 8

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