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

Question

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.

Answer 1

This is the same kind of question I just answered for you in the post below

In this case, set
−0.006x2 + 1.2x + 10 = 6
arrange it into the standard form of a quadratic and use the formula.