To find the difference in height, we need to subtract the initial height from the final height.
The initial height of the parasail is \( \frac{1}{20} \) kilometers (which is equivalent to 120 meters since \( \frac{1}{20} \) of a kilometer is 50 meters, and 120 meters is represented as \( \frac{1}{20} \)). The final height of the parasail is \( \frac{3}{20} \) kilometers (which is equivalent to 150 meters since \( \frac{3}{20} \) of a kilometer is 150 meters).
Now, we can calculate the difference:
\[ \text{Difference in height} = \text{Final height} - \text{Initial height} = \frac{3}{20} - \frac{1}{20} = \frac{3 - 1}{20} = \frac{2}{20} = \frac{1}{10} \text{ kilometers} \]
Now, let's look at the provided options to see the corresponding value of the difference in height:
The difference in height we've calculated is \( \frac{1}{10} \) kilometers.
None of the given responses directly match \( \frac{1}{10} \) kilometers. Therefore, it seems the available options might be incorrect in this context.
However, if we were to express a height difference based on relative heights, we could approximate based on the units described. The closest representations hint at \( \frac{3}{50} \) and \( \frac{1}{50} \) in the choices provided, but none are directly \( \frac{1}{10} \).
So the final answer based on the initial calculation is a height difference of \( \frac{1}{10} \) kilometers. You may want to use the numerical value or seek a clarification over the exact response format you're looking for.
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