To determine if the difference in height between the two trees is sufficient to meet the slope constraint, we need to calculate the slope of the zip line.
First, we need to calculate the horizontal distance between the two trees. If the trees are 130 feet apart and each tree is about 40 feet tall, then the horizontal distance between the tops of the trees is:
130 feet - 2(40 feet) = 50 feet
Next, we need to calculate the vertical distance between the two endpoints of the zip line. If Chantal wants to start the zip line 25 feet high in one tree and end it 10 feet high in the other tree, then the vertical distance between the two endpoints is:
25 feet - 10 feet = 15 feet
Therefore, the slope of the zip line is:
slope = rise/run = 15 feet/50 feet = 0.3
According to industry standards, the maximum slope for a zip line is typically around 0.5, although this can vary depending on the specific design and location. Since the slope of Chantal's zip line is only 0.3, it meets the slope constraint and is safe to use.