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$($Hydraulic jump$)$ At the bottom of a water ride in an amusement park, the water in the rectangular channel has a depth of $1\mathrm{.}77ft$ and a velocity of $10\mathrm{.}8f\frac{t}{s}.$ Determine the height of the "standing wave" $($a hydraulic jump$)$ that the boat passes through for its final "splash."

$ft$

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