The path of water from a hose on a fire tugboat can be approximated by the equation

y = −0.006x2 + 1.2x + 10, where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 6 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth.

1 answer

just solve the quadratic using the quadratic formula:
−0.006x2 + 1.2x + 10 = 6
−0.006x2 + 1.2x + 4 = 0
and finish it off...
You will get two answers, but only one is appropriate.