fountains are designed so that the height and distance the water travels is dependent on θ, the angle at which the water is aimed. for any given angle θ, the ratio of maximum height H of the water to the horizontal distance D it travels is given by the formula H/D=1/4/=tanθ. what is the value of θ that will produce a stream of water that goes twice as high as it travels horizontally?

asked by ceci

13 years ago

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1 answer

tanA = H/D.
H = 2D.
Substitute 2D for H:
tanA = 2D/D = 2/1 = 2.
A = 63.4 Deg.

answered by Henry

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Question

fountains are designed so that the height and distance the water travels is dependent on θ, the angle at which the water is aimed. for any given angle θ, the ratio of maximum height H of the water to the horizontal distance D it travels is given by the formula H/D=1/4/=tanθ. what is the value of θ that will produce a stream of water that goes twice as high as it travels horizontally?

1 answer

tanA = H/D.
H = 2D.
Substitute 2D for H:
tanA = 2D/D = 2/1 = 2.
A = 63.4 Deg.

Henry · Answer

tanA = H/D. H = 2D. Substitute 2D for H: tanA = 2D/D = 2/1 = 2. A = 63.4 Deg.