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Answer:
or
Step-by-step explanation:
we have
This is a vertical parabola open upward (because the leading coefficient is positive)
The vertex is a minimum
Convert to vertex form
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
----> equation in vertex form
or
The vertex is the point (0.25,10.5)
The required percentage error when estimating the height of the building is 3.84%.
<h3>How to calculate the percent error?</h3>Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
Given that,
An estimate of the height, H meters, of a tall building can be found using the formula :
H = 3f + 15
where the building is f floors high.
f = 85
The real height of the building is 260 m.
H = 3f + 15
Put f = 85 in the above formula
H = 3(85) + 15
H = 270 m
Error,
So, the required percentage error is 3.84%.
Learn more about percentage error;
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