When a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in i nches, of a spray of water is given by the equation ℎ()=160−162 where is the number of feet away from the sprinkler head the spray is. What is the height of the spray 2 feet away from the sprinkler head?
1 answer:
Answer:
96feet
Step-by-step explanation:
Given the height, in inches, of a spray of water is given by the equation ℎ(x)=160−16x^2
x is the number of feet away from the sprinkler head the spray
To get the height of the spray 2 feet away from the sprinkler head, we will simply substitute x =2 into the function and et the height h as shown;
From the equation
ℎ(x)=160−16x^2
h(2) = 160-16(2)²
h(2) = 160-16(4)
h(2) = 160-64
h(2) = 96feet
Hence the height will be 96feet if the spray is 2feet away from the sprinklers head
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