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(Solved): A firefighter holds a hose 4 m off the ground and directs a stream of water toward a burning buildin ...



A firefighter holds a hose 4 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of

15(m)/(s)

at an angle of

30\deg

. The height of the water can be approximated by

h(x)=-0.028x^(2) 0.527x 4

, where

h(x)

is the height of the water in meters at a point

x

meters horizontally from the firefighter to the building. Part 1 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 building is approximately

m. Round to 1 decimal place. Part 2 of 3 (b) What is the maximum height of the water? The maximum height of the water is

m . Round to 1 decimal place. Part: 2 /

3

Part 3 of 3 (c) The flow of water hits the house on the downward branch of the parabola at a height of 5 m . How far is the firefighter from the house? The firefighter is approximately

m from the house. Round to the nearest meter.



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