Final answer:
The actual vertical climb based on the hiker's change in altitude is 600 meters, which is approximately 1968 feet, none of which match the provided options. There could be a mistake in the question or a mismatch in the units provided, hence using the given options, 40 feet would be the largest hill climb, but it is not an accurate reflection of the provided information.
Step-by-step explanation:
To determine the vertical longest hill climbed by Ariel during the hike, we need to analyze the given data points concerning the hiker's elevation changes:
- A hiker walks up to a mountain hut at 800 m above sea level from a starting point of 200 m above sea level on the first day.
- On the second day, the hiker descends to the second hut at 500 m above sea level.
- On the third day, the hiker returns to her starting point at 200 m above sea level.
The greatest vertical climb can be calculated by finding the difference in elevation between the lowest and the highest points reached. From the starting point at 200 m, the hiker climbs to 800 m, which is a vertical climb of 600 m. However, we are given options in feet, so converting meters to feet (1 meter = approximately 3.28 feet) gives us a vertical climb of approximately 1968 feet.
However, since this value is not present in the given options (A) 10 feet (B) 20 feet (C) 25 feet (D) 40 feet, there may be a mistake in the question or a mismatch in the units provided. If we had to choose from the given options under the assumption that there is a unit conversion error, the correct answer would be D) 40 feet, since it is the largest option provided, but this does not accurately reflect the data provided in the question.