Question

Tony estimated the height of his office building to be 45 ft. The actual height of his office building is 44 ft. Find the absolute error and the percent error of Tony's estimate. If necessary, round your answers to the nearest tenth.

A) Absolute error: 1 ft, Percent error: 2.3%
B) Absolute error: 1 ft, Percent error: 2.2%
C) Absolute error: 0.5 ft, Percent error: 1.1%
D) Absolute error: 1.5 ft, Percent error: 3.4%

Answer 1

Percent error = ((45 - 44)/44)(100%) = 2.3%

The correct answer is A.

Answer 2

The absolute error is 1 ft and the percent error is 2.3%.

Step-by-step explanation:

To find the absolute error, subtract the estimated height from the actual height. Absolute error = 44 ft - 45 ft = 1 ft.

To find the percent error, divide the absolute error by the actual height and multiply by 100. Percent error = (1 ft / 44 ft) * 100 = 2.3%.

Therefore, the correct answer is A) Absolute error: 1 ft, Percent error: 2.3%.