Respuesta :

The required percentage error when estimating the height of the building is 3.84%.

How to calculate the percent error?

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,

[tex]E = \dfrac{270 - 260 }{260} \times 100\\\\E = 3.84 %[/tex]

So, the required percentage error is 3.84%.

Learn more about percentage error;

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