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.