3.1 Section Exercise3 uestion 9 of 12 (1 point) View problem in a pop-up A firef

Question

3.1 Section Exercise3 uestion 9 of 12 (1 point) View problem in a pop-up A firefighter holds a hose 4 m off the ground and directs a stream of water toward a burning the water can be approximated byh (x)- -0.026x2 + 0.588.x 4, where h (x) is the height of the building. The water leaves the hose at an initial speed of 12 m/sec at an angle of 30P. The height of water in meters at a pointx meters horizontally from the firefighter to the building. Part 1 out of 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 m. Round to 1 decimal place. NEXT CHECK

Explanation / Answer

h(x) = -0.026x^2 + 0.588x + 4

maximum height occurs at

x = -0.588 / 2 (-0.026)

x = 11.3

so, the water reaches maximum height when horizontal distance is 11.3 m

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