Final answer:
The mountain climbers are located 50 feet away from the base camp.
Step-by-step explanation:
To find the distance from the base camp to the mountain climbers, we need to calculate the total altitude change.
The climbers are at an altitude of 200 feet above sea level, and the base camp is located 150 feet below sea level.
Therefore, the total altitude change is 200 + (-150) = 50 feet.
If we assume that the altitude change is directly proportional to the distance traveled, we can use the given information about the hiker's altitude changes to find the distance between the base camp and the mountain climbers.
In the example given, the hiker travels from an altitude of 800 m above sea level to 500 m above sea level, which is a 300 m altitude change.
This distance is covered in a horizontal distance of 500 m - 200 m = 300 m.
So, if the altitude change of 300 m corresponds to a horizontal distance of 300 m, then the altitude change of 50 feet corresponds to a horizontal distance of 50 / 300 * 300 = 50 feet.
Therefore, the mountain climbers are located 50 feet away from the base camp.