Question

Problem PageQuestion Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft. Find the absolute error and the percent error of Tony's estimate. If necessary, round your answers to the nearest tenth.

Answer 1

Answer:

The absolute error is 4 ft and percent error of Tony's estimate is 9.8%.

Step-by-step explanation:

Given:

Tony estimated the height of his office building to be 45ft. The actual height of his office building is 41ft.

Now, to find the absolute error and the percent error of Tony's estimate.

The height of his office building = 45ft.

The actual height of his office building = 41 ft.

So, to get the absolute error:

The height of his office building - the actual height of his office building

$45\ ft-41\ ft\\=4\ ft.$

The absolute error = 4 ft.

Now, to get the percent error of Tony's estimate:

$\frac{4}{41} \times 100$

$=0.0975\times 100$

$=9.75\%.$

Percent error of Tony's estimate rounding to nearest tenth = 9.8%.

Therefore, the absolute error is 4 ft and percent error of Tony's estimate is 9.8%.