To find the difference in height between the two parasail altitudes, we first need to convert both heights to a common fraction of a kilometer.
- The initial height of the parasail is \( \frac{1}{20} \) of a kilometer.
- The new height is \( \frac{1}{50} \) of a kilometer.
To find the difference, we subtract the two fractions:
\[ \frac{1}{20} - \frac{1}{50} \]
To perform this subtraction, we need a common denominator. The least common multiple of 20 and 50 is 100.
Now, we convert each fraction:
\[ \frac{1}{20} = \frac{5}{100} \quad \text{(since } 1 \times 5 = 5 \text{ and } 20 \times 5 = 100\text{)} \]
\[ \frac{1}{50} = \frac{2}{100} \quad \text{(since } 1 \times 2 = 2 \text{ and } 50 \times 2 = 100\text{)} \]
Now we can subtract:
\[ \frac{5}{100} - \frac{2}{100} = \frac{3}{100} \]
Thus, the difference in height between the two parasail altitudes is \( \frac{3}{100} \) of a kilometer, which is equivalent to 0.03 kilometers or 30 meters.
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