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Algebra
Pregunta

A firefighter holds a hose \( 2 m \) off the groun...

A firefighter holds a hose \( 2 m \) off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of \( 14 m / s \) at an angle of \( 30 ^ { \circ } \) . The height of the water can be approximated by \( h ( x ) = - 0.025 x ^ { 2 } + 0.529 x + 2 \) , where \( h ( x ) \) is the height of the water in meters at a point \( x \) meters horizontally from the firefighter to the building. Part: \( 0 / 3\) (a) Determine the horizontal distance from the firefighter at which the maximum height of the water occurs. The water reaches a maximum height when the horizontal distance from the firefighter to the building is approximately m. Round to \( 1 \) decimal place. 

Answer

x = 10.6 m 

Solución
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