Final answer:
To calculate the total horizontal distance traveled by the kite, we would need the horizontal speed, which is not provided. Assuming a constant horizontal speed, the distance is represented by the horizontal displacement of 60 units to the west.
Step-by-step explanation:
The student's question is about finding the distance traveled by the kite. Given the equation y = 150 - 1/40((x - 50)^2), we understand that this function describes the kite's height above ground as it moves horizontally. To find the total distance traveled by the kite, we would integrate the speed of the kite over the interval from x = 0 to x = 60. However, since the function provided represents height and not the distance traveled by the kite in the horizontal direction, and also because the horizontal speed is not given, we cannot provide the exact distance traveled without more information. If we assume the kite moves at a constant horizontal rate, then the distance would simply be the horizontal displacement, which is 60 units in the west direction.