To find the change in height of the parasail, we subtract the final height from the initial height.
The initial height is \( \frac{1}{20} \) meters, and the final height is \( \frac{1}{50} \) meters.
First, we need a common denominator to perform the subtraction. The least common multiple of 20 and 50 is 100.
Now we convert both fractions:
\[ \frac{1}{20} = \frac{5}{100} \] \[ \frac{1}{50} = \frac{2}{100} \]
Now we can subtract the final height from the initial height:
\[ \text{Change in height} = \frac{1}{20} - \frac{1}{50} = \frac{5}{100} - \frac{2}{100} = \frac{3}{100} \]
Therefore, the change in height is \( \frac{3}{100} \) meters, which is equivalent to 0.03 meters.