In the following situation, you want to calculate the angle made by the air table, using the following measured values:
| Value | Uncertainty | |
| h1 | 7.5 cm | ± 0.1 cm |
| h2 | 15.3 cm | ± 0.1 cm |
| l | 65.3 cm | ± 0.1 cm |
The value of the angle, 
, is found using Sin-1[(h2-h1)/l]
1 to find the uncertainty on (h2 -h1), we add the absolute uncertainties on h1 and h2:
(h2-h1) = 7.8 ± 0.2 cm
2 to find the fractional uncertainty on (h2-h1)/l, we must add the fractional uncertainties on (h2-h1) and l, and then multiply by the value itself in order to get the absolute uncertainty:
3 Finally to find the uncertainty on the angle, you must use the upper-lower bound method:
The final answer for the angle is 6.9˚ ± 0.2˚.