a marine biologist wants to know the vertical distance a dolphin traveled during a jump.with the surface f the water being zero , it started under water at -35 feet, jumped up and out of the water to 27 feet. and returned to the water at -18 feel. what is the total vertical distance the dolphin traveled
To find the total vertical distance the dolphin traveled, we need to calculate the sum of the distances it traveled both above and below the water's surface.
1. Distance traveled above the water's surface:
The dolphin jumped from -35 feet to 27 feet, so the distance above the surface can be calculated as: 27 - (-35) = 27 + 35 = 62 feet.
2. Distance traveled below the water's surface:
The dolphin started at -35 feet and returned to the water at -18 feet, so the distance below the surface can be calculated as: -18 - (-35) = -18 + 35 = 17 feet.
3. Total vertical distance traveled:
The total vertical distance traveled by the dolphin is the sum of the distances above and below the water's surface: 62 + 17 = 79 feet.
Therefore, the dolphin traveled a total vertical distance of 79 feet.
To find the total vertical distance the dolphin traveled, we need to calculate the sum of the absolute values of the differences between each point.
First, let's find the vertical distance traveled from underwater (-35 feet) to the surface (0 feet). The absolute value of this difference is 35 feet.
Next, let's find the vertical distance traveled from the surface (0 feet) to the highest point reached by the dolphin (27 feet). The absolute value of this difference is 27 feet.
Lastly, let's find the vertical distance traveled from the highest point reached by the dolphin (27 feet) to the water surface again (-18 feet). The absolute value of this difference is 45 feet.
To get the total vertical distance traveled, we sum up these three distances: 35 feet + 27 feet + 45 feet = 107 feet.
Therefore, the total vertical distance the dolphin traveled is 107 feet.