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A fire hose nozzle directs a steady stream of water of velocity $\text{50 m/s}$ at an angle of $45^{\circ}$ above the horizontal. The stream rises initially but then eventually falls to the ground. Assume water as incompressible and inviscid. Consider the density of air and the air friction as negligible, and assume the acceleration due to gravity as $9.81\text{ m/s}^{2}$. The maximum height (in $\text{m}, \textit{round off to two decimal places}$) reached by the stream above the hose nozzle will then be __________
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